 | John Mair - Arithmetic - 1772 - 376 pages
...COROLLARIES. 1. Hence to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional is 32 ; for 8 x 16z= 128, and 4)1 28(32 ; (04:8:16: 32. And... | |
 | Beriah Stevens - Arithmetic - 1822 - 436 pages
...COROLLARIES. 1. Hence, to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional ia 32; for 8X16=128, and 4)128(32; so 4 : 8 : 16 : 32. And this... | |
 | George Peacock - Algebra - 1830 - 732 pages
...—, d=—, b= — , and c= — ; due o and therefore either of the extreme terms of the proportion may be found by dividing the product of the means by the other extreme ; and either of the means may be found by dividing the product of the extremes by the... | |
 | Thomas H. Palmer - Education - 1840 - 328 pages
...given mean, the quotient will be- the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4:6=*:18. No. 2.... | |
 | Alonzo Potter, George Barrell Emerson - Education - 1842 - 588 pages
...given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=0?: 18. No.... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...given, the fourth may be found. For, if the means and one extreme be given, the other extreme will be found by dividing the product of the means by the given extreme. Or, if the extremes and one mean be given, the other mean will bo found by dividing the product of... | |
 | Benjamin Greenleaf - 1851 - 332 pages
...6, the other mean is 12 ; because 24 X 3 = 72; and 72 ^6= 12. ART. 246. If the means and one of ike extremes are given, the other extreme may be found...4, the other extreme is 32 ; because 16 X8=128; and 128-^-4 = 32. SIMPLE PROPORTION. ART. 247. SIMPLE PROPORTION is an expression of the equality between... | |
 | Benjamin Greenleaf - 1854 - 342 pages
...and 24, and the given mean 6, the other mean is 12 ; because 24 X 3 = 72; and 72 -=-6= 12. ART. 346. If the means and one of the extremes are given, the...4, the other extreme is 32 ; because 16 X8=128; and 128-4-4 = 32. SIMPLE PROPORTION. ART. 247. SIMPLE PROPORTION is an expression of the equality between... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...24, and the given mean 6, the other mean is 12 ; because 24 X 3 = 72; and 72 -r- 6 = 12. AKT. 243. If the means and one of the extremes are given, the...given extreme 4, the other extreme is 32 ; because 16 X 8 = 128; and 128 -f-4 = 32. SIMPLE PROPORTION. ART. 244. SIMPLE PROPORTION is an expression of the... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...given, the other mean may be found by dividing the product of the extremes by the given mean ; or, 2. If the means and one of the extremes are given, the...dividing the product of the means by the given extreme. SIMPLE PROPORTION. 337. Simple Proportion is an equality between two simple ratios. NOTE. — Simple... | |
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If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if... 
