 | 1897 - 358 pages
...is the same as 32 : 96; whence, the proportion ^ Ib. : 96 Ib. ;; x : 8 lb, 1'. V.—8 Since in every proportion the product of the means equals the product of the extremes, we have 96 x - 32 X 8 96 x = 256 Ans. 96)256(2 192 96 ' (185) The larger steam pump discharges 49.087... | |
 | 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.... | |
 | 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,... | |
 | Adelia Roberts Hornbrook - Arithmetic - 1900 - 428 pages
...of the means with the product of the extremes until you see the truth of the following principle : In a proportion the product of the means equals the product of the extremes. When three terms of a proportion are given the other term is easily found by this principle, as : 3... | |
 | George William Myers, Sarah Catherine Brooks - Arithmetic - 1903 - 424 pages
...(4) f = 1ff ; (8) f = 'ff. Can you state the principle problems 8 and 9 illustrate? PRINCIPLE.—In a proportion the product of the means equals the product of the extremes. WRITTEN WORK What must x be in each of these expressions to give a proportion? Solution of first equation:... | |
 | John William Hopkins, Patrick Healy Underwood - Algebra - 1904 - 272 pages
...the 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... | |
 | George Clinton Shutts - Geometry - 1905 - 412 pages
...ratios. (a) Let — represent a ratio and — an equal ratio, then AC BD AC BD — = — 1s a proport1on. (b) It may be written in the above form; as A : B::...the extremes. CASE I. // all the terms are numbers. A f* Let — = — be a proportion in which A, B, C, and D are D JJ numbers. • To prove AD = BC.... | |
 | George Clinton Shutts - Geometry - 1905 - 410 pages
...taken in order. X is a fourth proAC portional to A, B, and C, if — = — . 12 is a fourth proporBX 6 8 tional to 6, 9, and 8 if - = - Verify the last...proportion, the product of the means equals the product 0f the extremes. CASE I. // all the terms are numbers. AC Let — = — be a proportion in which A,... | |
 | David Eugene Smith - Arithmetic - 1905 - 344 pages
...number of horses. 107. We may simplify the actual work by noticing that, as in simple proportion, In any proportion the product of the means equals the product of the extremes. Hence, in the above example, after reasoning out the form of the proportion, we have simply to write... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...be divided by be, the results will be equal.] (Ax. 3.) QED SCH. 1. We have seen that in the original proportion the product of the means equals the product of the extremes. The test of the correctness of every derived proportion is that when the product of its extremes is... | |
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In any proportion, the product of the means equals the product of the extremes. 
