 | Education - 1909 - 1030 pages
...being positive unequal numbers), XIV. RATIO AND PROPORTION. I. Proofs of the following theorems: A. 1. The product of the means equals the product of the extremes. 2. In a mean proportion, the mean equals the square root of the product of the extremes. 3. Either mean... | |
 | David Eugene Smith - Arithmetic - 1905 - 646 pages
...number of horses. 433. 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... | |
 | 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... | |
 | Education - 1909 - 1160 pages
...numbers), o'+&J>2a6, o'+ft^o'ft+oB1 XIV. RATIO AND PROPORTION. I. Proofs of the following theorems : A. 1. The product of the means equals the product of the extremes. 2. In a mean proportion, the mean equals the square root of the product of the extremes. 3. Either mean... | |
 | 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... | |
 | Education - 1921 - 970 pages
...63.9/92.3 without simplifying the second fraction? The answer leads to the First Proposition : In any proportion the product of the means equals the product of the extremes. With this as a fundamental proposition I write on the blackboard all the possible proportions that... | |
 | Walter Randall Marsh - Algebra - 1905 - 446 pages
...the conditions named above, and hence may form a proportion. PRINCIPLES OF PROPORTION 257. I. In any proportion the product of the means equals the product of the extremes. If f=J, (1) о а multiplying (1) by bd, ad = be. (2) II. If two products are each composed of two... | |
 | Orville Marcellus Powers - Business mathematics - 1906 - 384 pages
...of a proportion are given the other term may be found by the following : Principles of Proportion 1. The product of the means equals the product of the extremes. 2. The product of the means divided by one extreme equals the other extreme. 3. The product of the extremes divided by one mean equals the... | |
 | Orville Marcellus Powers - Business mathematics - 1906 - 384 pages
...of a proportion are given the other term may be found by the following : Principles of Proportion 1. The product of the means equals the product of the extremes. 2. The product of the means divided by one extreme equals the other extreme. 3. The product of the extremes divided by one mean equals the... | |
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In any proportion, the product of the means equals the product of the extremes. 
