Answers

2014-07-02T13:21:59+05:30

Property 1:
Product of Means = Product of Extremes     Consider 50 / 40 = 5 / 4 in which 40 and 5 are means and 50 and 4 are extremes in proportion.     so 40 × 5 = 50 × 4Property 2:     If a / x = x / b     then x2 = a.b     Here x is mean proportion of a and b.Property 3:      Duplicate ratio of a:b is a2: b2 and sub duplicate ratio of a:b is ?a : ?bProperty 4:      Triplicate ratio of a:b is a3:b3  and sub-triplicate ratio of a:b is 3?a : 3?b.Property 5 (Alternando Rule):      If a:b = c:d then a :c = b :dProperty 6(Componendo Dividendo Rule):     a/b = c/d then (a+b / a-b) = (c+d / c-d)Property 7:     If a/b = c/d = e/f then a/b = c/d = e/f= (a+b+e / c+d+f)These are the seven properties of proportions.
0