 | George William Myers - 1912 - 410 σελίδες
...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:... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1912 - 300 σελίδες
...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 - 1912 - 362 σελίδες
...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.... | |
 | Frederick Howland Somerville - 1913 - 458 σελίδες
...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... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1913 - 312 σελίδες
...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... | |
 | Horace Wilmer Marsh - 1913 - 460 σελίδες
...= 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... | |
 | Frederick Charles Kent - 1913 - 292 σελίδες
...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, Annie Griswold Fordyce Marsh - 1914 - 270 σελίδες
...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=-= oa Prove bc=ad IV THEOREM 2 A mean proportional between two quantities equals the... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - 1915 - 266 σελίδες
...J:x = x: 10 - x. 37. (1 - x) : (1 + x) = (2 - x) : (2 + x). 60. Properties of proportions. I. In any proportion, the -product of the means equals the product of the extremes. For, in a _ с when we multiply each member by bd, we obtain ad = be. TT T. а с , ... , ab II. If... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 402 σελίδες
...fractional form, - = c, we clear 6 d of fractions and obtain ad = bc. 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... | |
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In any proportion, the product of the means equals the product of the extremes. 
