 | 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... | |
 | 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,... | |
 | 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 William Myers, George Edward Atwood - Algebra - 1916 - 362 pages
...of Proportionality. The equation, ad = bc, furnishes the test of proportionality, which is: In any proportion the product of the means equals the product of the extremes. Exercise 126 Test whether the following expressions are proportions: I- A=tt 2. 1 = -V3- 3. f = ff... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...applied to a pro- antecedent portion consequent 206. The following theorems have been proved: 1. In a proportion the product of the means equals the product of the extremes. 2. If the product of two factors equals the product of two others, proportions may be formed by taking... | |
 | Julius Lederer Neufeld - Algebra - 1920 - 412 pages
...without destroying the equality of the two ratios. PRINCIPLES OF PROPORTIONS 168. Principle 1. — In any proportion, the product of the means equals the product of the extremes, If a:b=c:d The,, | = | Clearing of fractions, ad = be. If a : b = b : c, Then 62 = ac A mean proportional... | |
 | John Bascom Hamilton, Herbert Earle Buchanan - Mathematics - 1921 - 310 pages
...means and extremes given above, this result can be stated in words as follows: 264. Theorem. In any proportion the product of the means equals the product of the extremes. A statement of this sort, which has been deduced from given facts, is called a theorem. CL C If 1 be... | |
 | Helen J. Kiggen - Business mathematics - 1922 - 424 pages
...are the means; the first and third, the antecedents, and the second and fourth, the consequents. 2. In every proportion the product of the means equals the product of the extremes. 3. Since the product of the means equals the product of the extremes, a missing extreme is found by... | |
 | George Wentworth, David Eugene Smith, Herbert Druery Harper - Mathematics - 1922 - 216 pages
...if we multiply both fractions by 7 x 35 we see that 7x15 = 3x35. Therefore, it follows that in any proportion The product of the means equals the product of the extremes. If we let x stand for some number that we are to find, and if #: 29 = 26: 105, 29x26 then x = '•... | |
 | Earle Bertram Norris, Kenneth Gardner Smith - Arithmetic - 1924 - 280 pages
...castings. Substituting the word "answer" in place of "weight for 13 castings," we get 19:13 = 137: Answer Since the product of the means equals the product of the extremes, we know that 13 X 137 = 19 X Answer or 1781 = 19 X Answer If 19 X Answer = 1781, then the answer must... | |
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In any proportion, the product of the means equals the product of the extremes. 
