 | George William Myers - Arithmetic - 1912 - 410 pages
...in all parts of problem 3, §150, that make proportions. What seems to be true of the products? In a proportion, the product of the means equals the product of the extremes. 6. Tell which of the following are proportions, by comparing the products of the means and the extremes:... | |
 | Frederick Howland Somerville - Algebra - 1913 - 458 pages
...solution of problems involving certain relations, we may note briefly the following : (1) Since, in any proportion, the product of the means equals the product of the extremes (Art. 371), we may readily find any one term of a proportion when three terms are known. 380. Givena:b... | |
 | Horace Wilmer Marsh - Mathematics - 1913 - 460 pages
...= 24.3i 8.2 ^ R ' or the factors are 8.2 and 24.3 and the divisor is 12.5, since in every numerical proportion the product of the means equals the product of the extremes. 315. What to do when a Number is " Off the Rule." If an attempt is made to determine R by the preceding... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1913 - 312 pages
...numbers, 5, 29, 10, 44, to make the results proportional ? 261. Relation of Means to Extremes. In any proportion the product of the means equals the product of the extremes, For, - = -, and multiplying both members by bd, ad = be. о а 262. Conversely, If the product of two... | |
 | Frederick Charles Kent - Algebra - 1913 - 292 pages
...Fundamental Property of a Proportion. If a : b = с : d, then XXVI ad = be. This means that in any proportion the product of the means equals the product of the extremes. 152. Standard Transformations in a Proportion. If а с а с a : b = с : d. then — - = — ; and... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...is still retained in the geometries because of its application to similar triangles. 79 IV THEOREM 1 In every proportion the product of the means equals the product of the extremes. -,. ac Given r=j 6 a Prove be = ad IV THEOREM 2 A mean proportional between two quantities equals the... | |
 | George Henry Van Tuyl - Business mathematics - 1915 - 466 pages
...12:2' 12: 2 265. The solution of problems in proportion depends upon the following principles : 1. Hie product of the means equals the product of the extremes....The product of the means divided by either extreme gives the other extreme. 3. The product of the extremes divided by either mean gives the other mean.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...fractional form, - = c, we clear о it of fractions and obtain ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. Case II : b : a:: d : c. We are to show that if - = -, then-=-. bdac Proof. From Case I, we have bc... | |
 | George Wentworth, David Eugene Smith - Arithmetic - 1915 - 320 pages
...terms are called the means. In the proportion ^ = ^-|, we see that 7 x 15 = 3 x 35. That is, in any proportion, The product of the means equals the product of the extremes. We also see that if x : 21 = 35 : 105, x 35 21 = 105' then * = 21 x 35 Therefore, in any proportion,... | |
 | George Wentworth, David Eugene Smith - Arithmetic - 1915 - 588 pages
...terms are called the means. In the proportion | = £I, we see that 7 x 15 = 3 x 35. That is, in any proportion, The product of the means equals the product of the extremes. We also see that if x : 21 = 35 : 105, x 35 or — = - , 21 105 ., 21 x 35 then Z = Therefore, in any... | |
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In any proportion, the product of the means equals the product of the extremes. 
