 | George Wentworth, David Eugene Smith - 1915 - 324 σελίδες
...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 - 1915 - 588 σελίδες
...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 - 1915 - 320 σελίδες
...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 - 1915 - 412 σελίδες
...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, Herbert Druery Harper - 1922 - 216 σελίδες
...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 = '•... | |
 | Raleigh Schorling, William David Reeve - 1922 - 476 σελίδες
...4. Things equal to the same thing are equal to each other. 5. If four quantities are in proportion, the product of the means equals the product of the extremes. 6. Dividing both members of the equation by CE. 7. Obvious. 8. By eliminating the other possibility. EXERCISES... | |
 | Frank Charles Touton - 1924 - 134 σελίδες
...cuts off a A similar to the whole A. (21) In similar As homologous sides are proportional. (22) In a proportion the product of the means equals the product of the extremes. (23) Used vertex angle as a Zrt. Special case. (24) Homologous sides occupy corresponding positions... | |
 | Earle Bertram Norris, Kenneth Gardner Smith - 1924 - 280 σελίδες
...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... | |
 | Joseph Clifton Brown, Albert Clayton Eldredge - 1924 - 346 σελίδες
...products compare in each case? Your solution of these problems shows the truth of this principle: In any proportion, the product of the means equals the product of the extremes. Three terms are usually given in a problem that involves proportion. It is then necessary to find the... | |
 | Raymond Asa Kent, Martha C. Olsen, James R. Skiles - 1927 - 462 σελίδες
...(1) the product of the extremes (2) the product of the means. How do these products compare? In any proportion the product of the means equals the product of the extremes. For example: 12 : 16=15 :x 16 Xl5 =240, product of the means Then 12 x = 240, product of the extremes... | |
| |
In any proportion, the product of the means equals the product of the extremes. 
