| Robert Johnston (F.R.G.S.) - 1879 - 318 pages
...proportion are called means (9 and 10); the first and fourth extremes (15 and 6). When four numbers form a **proportion, the product of the means is equal to the product of the extremes.** Thus, 6 : 3 : : 8 : 4 ; here, 6X4, the extremes, = 8X3, the means, = 24. form a proportion, the factors... | |
| Joseph Ray - Arithmetic - 1880 - 420 pages
...Simple when both ratios are simple ; Compound when one or both ratios are compound. PRINCIPLES. — 1. **In every proportion the product of the means is equal to the product of** Hie extremes. 2. The product of the extremes divided by either mean, iritt give the other mean. < 3.... | |
| Education Ministry of - 1880 - 248 pages
...3'1416 its diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in **proportion the product of the means is equal to the product of the extremes.** 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator.... | |
| Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...congruent angles. 10. AA = AA 11. Corresponding sides of similar triangles are in proportion. 12. In a **proportion, the product of the means is equal to the product of the extremes.** • PROBLEM 531 Using Ptolemy's Theorem show that if a anS b, with a ^ b, are chords of two arcs of... | |
| Ann Faber, Gale Edgerton, Paul Karanevich - Mathematics - 1985 - 254 pages
...proportion amounts to multiplying the "means" (inner numbers) and the "extremes" (outer numbers). If **the product of the means is equal to the product of the extremes,** the ratios are equal. 2X2 = 4 1:2 2:4 1 X4 = 4 4 = 4, so that 1 :2 = 2:4 is a proportion. I Example... | |
| Research and Education Association - Mathematics - 2015 - 112 pages
...c are called the means of the proportion. The single term d is called the fourth proportional. In a **proportion, the product of the means is equal to the product of the extremes.** Theorem 2 A proportion may be written by inversion. (If alb = eld, then bla = die.) Theorem 3 •i... | |
| Joanne K. Price - Technology & Engineering - 1991 - 378 pages
...proportion. The inside terms (2nd and 3rd) are called the means of a proportion. For all proportions, **the product of the means is equal to the product of the extremes.** In other words, when the two inside terms are multiplied, the answer will be the same as when the two... | |
| Brian Burrell - Mathematics - 1998 - 386 pages
...or as "/, = '//. The values b and c are referred to as the means; a and d are the extremes. In any **proportion, the product of the means is equal to the product of the extremes.** (This is also known as cross-multiplication.) THE RULE OF THREE "Do as you would be done by" is thought... | |
| Haym Kruglak, John Moore, Ramon Mata-Toledo - Mathematics - 1998 - 508 pages
...of the proportion. The above proportion can be written in fractional form as a/b = c/d. Rule. In any **proportion, the product of the means is equal to the product of the extremes.** Ratio For instance, 3:4 = 6:8 is a proportion and the product of the means is (4)(6) or 24 and the... | |
| Thomas J. Mathiesen - Music - 1999 - 832 pages
...proportion" (Kupionepoi; dvaXoyia), in which two middle terms form various ratios with the extremes and **the product of the means is equal to the product of the extremes.** This proportion is represented by 12:9:8:6, which embraces geometric proportion (12:8::9:6), harmonic... | |
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