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" In any proportion, the product of the means equals the product of the extremes. "
The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ... - Page 171
by Albert Newton Raub - 1877 - 342 pages
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...the same as the following antecedent. PROPERTIES OF PROPORTIONS. 284. I. When four quantities are in proportion, the product of the means equals the product of the extremes. Let a, b, c, d, be in proportion. Then - = -• bd Clearing of fractions, ad = cb. From this, we have,...
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The Werner Arithmetic, Oral and Written, Book Two, Parts I and II, Book 2

Frank H. Hall - Arithmetic - 1896 - 300 pages
...terms of a proportion are called the extremes, and the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes. 78. Per cent means hundredth or hundredths. 1 per cent is Tттп 9 per cent is T?ff; 200 per cent...
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The Werner Arithmetic: Oral and Written, Volume 2

Frank H. Hall - Arithmetic - 1896 - 296 pages
...terms of a proportion are called the extremes> aad the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes. 78. Per cent means hundredth or hundredths. 1 per cent is T ^j; 9 per cent is T ? 5 ; 200 per cent...
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A Textbook on Plumbing, Heating, and Ventilation, Volume 5

1897 - 358 pages
...the different terms to decimals: 6f =6.75. 3£=3.5. (a) 6.75 ft. : 3.5 ft. :: x Ib. : 37.45 Ib. Since in every proportion the product of- the means equals the product of the extremes, we have 3. 5. r = 6.75 X 37.45. 3. 5^r =252. 7875. 252.7875 . ,, x = - - — = 72.225 Ib. Ans. 3.5...
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The Rand-McNally Practical Arithmetic: Complete for All Ordinary Purposes

Edwin Crawford Hewett - Arithmetic - 1897 - 370 pages
...and the other pair the mean terms, of that proportion. Hence, we see the grand principle that: In any proportion the product of the means equals the product of the extremes. On this principle we can always find any term of a proportion when the other three terms are given....
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Higher Arithmetic

Wooster Woodruff Beman, David Eugene Smith - Arithmetic - 1897 - 232 pages
...permissible because — = - ,po o Exercises. 1. Given - = -, the terms being abstract numbers, to prove that the product of the means equals the product of the extremes. 2. In the proportion - = - > prove that x = bc/d ; that is, that one oa extreme equals the product of...
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Lippincott's Practical Arithmetic: Embracing the Science and Practical ...

James Morgan Rawlins - Arithmetic - 1899 - 458 pages
...interest, at 5%, of from Sept. 1, 1894, to the present time. 61. Show that if four quantities are in proportion the product of the means equals the product of the extremes. 62. How much is due Aug. 15, 1893, 011 an interest-bearing promissory note for $250, dated Buffalo,...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1902 - 1204 pages
...fourth terms are called the extremes or outer terms, the second and third the means or Inner terms. The product of the means equals the product of the extremes: 2 : 4 : : 3 : 6; 2 x 6 = 12; 3 X 4 = 12. Hence, given the first three terras to find the fourth, multiply...
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A First Book of Algebra

John William Hopkins, Patrick Healy Underwood - Algebra - 1904 - 272 pages
...articles, the fewer the number of articles that can be bought for the given sum of money. 110. In a proportion the product of the means equals the product of the extremes. This may be shown as follows : Let the proportion be a : b = с : d, HMultiply by bd, ad = bc. Example...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...their measures. j. Compare the ratios of the measures, and apply Case I. Therefore — Model. In a proportion, the product of the means equals the product of the extremes. CASE I. // all the terms are numbers. Let — = — be a proportion in which A, B, C, and D are i>...
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