 | Wilbur Fisk Nichols - 1910 - 236 pages
...proportion. Multiply the extremes together. Multiply the means together. Compare the two products. Learn: In every proportion the product of the means equals the product of the extremes. 6. Either extreme equals the product of the means divided by the other extreme, as, 6 : 2=9 : x. 6x... | |
 | William Charles Brenke - Algebra - 1910 - 374 pages
...± Vac. Also, с is called the о с third proportional to a and b. 116. Laws of Proportion. 1. In a proportion, the product of the means equals the product of the extremes. 2. If two products, each containing two factors, are equal, either pair of factors may be taken as the... | |
 | John Charles Stone, James Franklin Millis - Arithmetic - 1910 - 440 pages
...the above exercises, see whether the product of the means equals the product of the extremes. In any proportion the product of the means equals the product of the extremes. 3. x : 6 = 9 : 12. Find the value of x. Find the missing term: 4. x 5 = 12 : 4. 10. x : 5 = 80 : 10.... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1910 - 238 pages
...formula of Exercise 27 find P, if W= 1000 Ib., R = 21 in., I = 15 in., r = 11 in., d = § in. 179. In any proportion the product of the means equals the product of the extremes. For, " = ~, and multiplying both members by bd, ad = be. bd 180. Conversely, If the product of two... | |
 | Charles H. Gleason - Arithmetic - 1910 - 536 pages
...6, multiply the two extremes together. Multiply the two means together. What do you observe ? In a proportion the product of the means equals the product of the extremes. ORAL EXERCISES 171. Prove the following proportions, by comparing the products of extremes and means... | |
 | Charles W. Morey - Arithmetic - 1911 - 454 pages
...The first and the last terms of a proportion are the extremes, and the two middle terms the means. In every proportion the product of the means equals the product of the extremes. Thus, in the proportion 8:4=6:3, the product of the means (4 x 6), 24, equals the product of the extremes... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1911 - 288 pages
...Then in the proportion - = - both members may be multiplied by bd, giving ad = be. Therefore, In any proportion the product of the means equals the product of the extremes. If ps = qr is divided by qs, we obtain Also ps = qr divided by rs gives f_I. (2) rs And qr = ps divided... | |
 | James A. Lyons - Business mathematics - 1912 - 392 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. 8. The product of the extremes divided by one mean equals the... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1912 - 300 pages
...both members of the equation ba be multiplied by bd, we have ad = bc. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. 2. Show that if - = - , then - = - • bd a. c Hint. Divide 1 = 1 by the members of the given equation.... | |
 | John William Hopkins, Patrick Healy Underwood - Algebra - 1912 - 362 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, I-? Multiply Ъу bd, ad = be.... | |
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In any proportion, the product of the means equals the product of the extremes. 
