 | 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
...simple 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,... | |
 | John William Hopkins, Patrick Healy Underwood - Algebra - 1904 - 272 pages
...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... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...derived from a : b ::c :e by cubing the terms of the latter. PROPOSITIONS XL 1. If four quantities are in proportion, the product of the means equals the product of the extremes, and conversely. If a:b::c:e, ie if - = -, be then ae = be. [If both members of the given equation be... | |
 | 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... | |
 | George Clinton Shutts - 1905 - 260 pages
...the measures of the extremes, and o and u are the measures of the means. § 200. Therefore — In a proportion the product of the means equals the product of the extremes. 262. NOTE.—It frequently occurs that mathematical expressions are used which ire intelligible under... | |
 | 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... | |
 | 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... | |
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In any proportion, the product of the means equals the product of the extremes. 
