 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...If 60 bushels of wheat cost $36, what is the price a bushel? 9 Show that if four quantities are in proportion the product of the means equals the product of the extremes. Mention one application of this principle. 10 Compare the United States rule for partial payments with... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...From - = -> it follows, by multiplying equals by bd, that 2. ad = bc. Hence, If four numbers are in proportion, the product of the means equals the product of the extremes. Ax. 6 If four lines are in proportion, the rectangle of the means equals the rectangle of the extremes.... | |
 | 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,... | |
 | Robert Griffith Hatfield - Architecture - 1895 - 774 pages
...A and B. That is, ab is to bd as bd is to be. This is usually stated thus: ab : bd : : bd : be, and since the product of the means equals the product of the extremes, therefore, ab'*bc = bd'This is shown geometrically at Art. 538. CONIC SECTIONS. AXIS AND BASE OF PARABOLA.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...= c : d, then ad = bc. Proof. 1. From r = -f bd bd, that 2. ad = bc. Hence, If four numbers are in proportion, the product of the means equals the product of the extremes. it follows, by multiplying equals by Ax. 6 If four lines are in proportion, the rectangle lof the means... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...effect. 2d effect. 4 men -, 7 men -* rr 5 dy. I : ? dy. I : : i 15 A. : I 19.5 A. 14 hr. J 13 hr. JII Since the product of the means equals the product of the extremes, the number of days required equals the product of the extremes divided by the product of the remaining... | |
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In any proportion, the product of the means equals the product of the extremes. 
