| Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...the numerator of the second, which is the product of the extremes ; or, 15 X 4 = 20 X 3. Hence» i I. **In every proportion the product of the means equals the product of the extremes.** \giiin, take any three terms in proportion, aa 4 : 6=6 : 9 Then, since the product of the means equals... | |
| Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 332 pages
...have 8x6=12x4. But 8 and 6 are the means of the above proportion, and 12 and 4 its extremes. Hence, **In every proportion, the product of the means equals the product of the extremes.** Therefore, 1. If the product of the two means of a proportion be divided by either extreme, the quotient... | |
| Edward Brooks - 1863 - 344 pages
...A Compound Proportion is the comparison of compound ratios. PRINCIPLES OF PROPORTION. PROP. I. — **In every proportion the product of the means equals the product of the extremes.** DEM. — In the proportion 2 : 6 : : 4 : 12 we have J = T\ ; now if we multiply both these equals by... | |
| George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 358 pages
...performance of arithmetical examples by proportion depends upon the following important principle : — **In every proportion the product of the means equals the product of the extremes.** ILLUSTRATION. Writing the given proportion in a fraco . o . . A . Q tional form, we have j- = •£.... | |
| John Groesbeck - Arithmetic - 1868 - 348 pages
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. **In every proportion the product of the means equals the product of the extremes.** SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,... | |
| John Groesbeck - Arithmetic - 1868 - 348 pages
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. **In every proportion the product of the means equals the product of the extremes.** SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,... | |
| George Augustus Walton, Electa Nobles Lincoln Walton - Arithmetic - 1869 - 348 pages
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is sometimes enunciated thus : " In any **proportion the product of the means equals the product of the extremes,"** which is not true when the terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $... | |
| John Groesbeck - Business mathematics - 1871 - 370 pages
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. **In every proportion the product of the means equals the product of the extremes.** From this principle, having three terms of a proportion, we are enabled to find the fourth. SIMPLE... | |
| George Augustus Walton, Electa N. L. Walton - Arithmetic - 1871 - 348 pages
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is some, times enunciated thus : " In any **proportion the product of the means equals the product of the extremes,"** which is not true when tire terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $... | |
| John Groesbeck - 1872 - 374 pages
...10 to 20. The first and fourth terms are called the extremes; (he second and third, the means. 85. **In every proportion the product of the means equals the product of the extremes.** From this principle, having three terms of a proportion, we are ei.abled to find the fourth. SIMPLE... | |
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