 Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth ; and so on.  A School Algebra - Page 297by George Albert Wentworth - 1895 - 362 pagesFull view - About this book
 | Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...first and fourth terms. 371. The Means are the second and third terms. 372. Three numbers may be in proportion when the first is to the second as the second is to the third. Thus, the numbers 3, 9, and 27 are in proportion since 3 : 9 : : 9 : 27, the ratio of each couplet... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...fourth terms ; and The Means are the second and third terms. <-I2i5. Three numbers are proportional when the first is to the second as the second is to the third. Thus, the numbers 4, 6, and 9 are proportional, since 4:6=6:9, the ratio of each couplet being |, or... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1861 - 140 pages
...is said to be a mean proportional between a and c ; and ca third proportional to a and 6. Quantities are said to be in continued proportion, when the first is to the second, as the second to the third ; and as the third is to the fourth, and so on. If three numbers be in continued Arithmetical... | |
 | Henry G C. Smith - 1863 - 200 pages
...following numbers : 7. 8i, 5i, 8TV 8. 3J, 6f, 194 10. 4?, 7f, 4e When there are three numbers, of which the first is to the second as the second is to the third, the third is termed the Third Proportional to the first and the second, and the second is the Mean... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...between a compound ratio and a simple ratio, or between two compound ratios. 370. Three terms are in proportion when the first is to the second as the second is to the third. The second term is called a mean proportional between the other two ; thus, in the proportion, 3:6... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...between a compound ratio and a simple ratio, or between two compound ratios. • 370. Three terms are in proportion when the first is to the second as the second is to the third. The second term is called a mean proportional between the other two ; thus, in the proportion, 3 :... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...that is, If the product of the first and third of two quantities is equal to the square of a second, the first is to the second as the second is to the third. Illustration: If 4 : 6 : : 6 : 9, then, 4X9=62=36^_ If 2X8=16, then, 2 : j/TF: : ,/16 : 8. Or, 2 :... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...that is, If the product of the first and third of two quantities is equal to the rquare of a second, the first is to the second as the second is to the third. Illustration : If 4 : 6 : : 6 : 9, then, 4X9=62=36. If 2X8=16, then, 2 : yO6~: : v/IF: 8. Or, 2 : 4... | |
 | Philotus Dean - Arithmetic - 1874 - 472 pages
...iron," "Coal is coal," &c. Two numbers can form an identical proportion. Three numbers are proportionals when the first is to the second as the second is to the third ; thus, 3 : 6 : : 6 : 12. In this case the second term is called a mean proportional between the other... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...and fourth terms ; and The Means are the second and third terms. 425. Three numbers are proportional when the first is to the second as the second is to the third. Thus, the numbers 4, 6, and 9 are proportional, since 4:6 = 6:9, the ratio of each couplet being |,... | |
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