 | Charles E. Larard, Henry A. Golding - Engineering - 1909 - 556 pages
...given. 60 70 80 90 *00 & 9 . I0 Proportion, Ratios, Percentages. — We have already stated (p. 13) that in any proportion the product of the extremes equals the product of the means, so that the fourth term in proportion equals the product of the second and third terms divided by the... | |
 | George E. Mercer - Arithmetic - 1909 - 312 pages
...multiplied together. This may be written 2 x 4 : 3 x 5 = 32 : 60, or, 8:15 = 32 : 60. As in simple proportion, the product of the extremes equals the product of the means. In the example above, 2 x 4 x 60 = 3 x 5 x 32. In stating a problem in compound proportion, the quantity... | |
 | A. Herring-Shaw - 1910 - 288 pages
...an inverse ratio; thus, 10 is to 2 inversely as 5 is to 25, must be expressed as 10 : 2 :: 25 : 5. In any proportion, the product of the extremes equals the product of the means. Thus, in the proportion 10 : 2 :: 25 : 5, 10 x 5 = 25 x 2, since both products = 50. The products of... | |
 | Joseph Victor Collins - Algebra - 1911 - 330 pages
...the first and last terms. 237. fundamental Theorems about a Proportion. Í. If four quantities are in proportion., the product of the extremes equals the product of the means. If- = -, then ad = be. (By Mult. Ax.) SUGGESTION. Both sides of the given equation Effe multiplied... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1911 - 698 pages
...elsewhere, where proportion is applied. Let the pupil establish each of them. (1) If four numbers are in proportion, the product of the extremes equals the product of the means. That is, Cf. /* if - = -, then ad = bo. od SUGGESTION. — Clear - = - of fractions. • . bd (2) If... | |
 | George Wentworth, David Eugene Smith - Arithmetic - 1911 - 396 pages
...proportion the product of the extremes equals the product of the means. 66. Finding a Missing Term in a Proportion. The product of the extremes equals the product of the means (§ 65). Therefore, either extreme equals the product of the means divided by the other extreme ; Either... | |
 | Fletcher Durell, Elizabeth Hall - Arithmetic - 1912 - 404 pages
...8 (3) 5 : 3 = 20 : 12 (*) | : 4 = 1 : 8 (4) f : i = I : f Hence, we obtain the following principle: In any proportion, the product of the extremes equals the product of the means. This principle can be proved in a general way, but this proof lies beyond the scope of this book. This... | |
 | Joseph Victor Collins - Algebra - 1913 - 362 pages
...the first and last terms. 139. Fundamental Theorems about a Proportion. 1. If four quantities are in proportion, the product of the extremes equals the product of the means. If — = —, then ad = be. (By Mult. Ax.) bd SUGGESTION. Both sides of the given equation are multiplied... | |
 | John Alexander Luman - Arithmetic - 1914 - 366 pages
...first and last terms of a proportion are called the extremes ; the second and third, the means. 799. In any proportion, the product of the extremes equals the product of the means. It follows from this that either extreme is found by multiplying the means and dividing this product... | |
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In any proportion, the product of the extremes equals the product of the means. 
