 | James Bates Thomson - Arithmetic - 1862 - 428 pages
...reached the top of a house: how high was the house ? 3. Two ships, one sailing 7 miles, the other 12 miles an hour, spoke each other at sea; one was going...582. A mean proportional between two numbers is equal k> the square root of their product. (Arts. 494, 498. Obs. 2.) au«sT.--.w When the hypothenuso and... | |
 | Olinthus Gregory - 1863 - 482 pages
...factors of two equal products. 2. If the means are equal, their product becomes a square ; therefore the mean proportional between two numbers is equal to the square root of their product. Thus, between 4 and 9 the mean proportional is v/(4 x 9) = 6. 3. If a proportion contain an unknown... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...the means are equal, as in the proportion a : b = b : c, we have 6J = ac, whence 6 = 1/ac ; that is, a mean proportional between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...the means are equal, as in the proportion a : b = b : c, we have 6 a = ac, whence 6 = \/ac ; that is, a mean proportional between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may... | |
 | W. P. Higgs - Algebra - 1876 - 122 pages
...divide by the first, to find the fourth term, or the answer. In arithmetic, too, we are told that " the mean proportional between two numbers is equal to the square root of their product." The reason we may perceive from the following proportion : a : b : : b : c Here b is what is termed... | |
 | William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...three terms of a proportion are given, the remaining term can be found. Hence, the name, Rule of Three. A mean proportional between two numbers is equal to the square root (Art. 438) of their product. (17.) 8 : 2 = 12: ?. (21.) ¿ : ^ = \ : ?. (18.) 6 : 9 = ?:12. (22.) £... | |
 | Henry Bartlett Maglathlin - 1882 - 320 pages
...proportional between the extremes of a proportion is one of the equal means of the proportion (Art. 346), the mean proportional between two numbers is equal to the square root of their product. Hence, Л/816 X 97J = -v/79560 = 282.0638+, Ans. 75. r Ib. = 12 oz. ; 12 oz. : oz. = $- : x , Ans'... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...proportion a : b = b : c, we have 6 2 == ac, whence b = y^ac; that is, a mean proportional (II., 36) between two numbers is equal to the square root of their product. 6, Conversely, if the product of two numbers is equal to the product of two others, either two may... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...proportion a : b = b : c, we have 6* = ac, whence b = y^ac; that is, a mean proportional (II., 36) between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may... | |
 | George W. Lilley - Algebra - 1892 - 420 pages
...Ь : с Let e : 6 :: b : c. Therefore I., ft2 = ac. Extract the square root, b = ^/a c. Hence, III. A mean proportional between two numbers is equal to the square root of their product. Let a:b::c:d. Therefore I., ad — be. ab Divide bv с d, - = -• с d IV. If four numbers are in... | |
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A mean proportional between two numbers is equal to the square root of their product. 
