Lesson Properties of proportions

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This Lesson (Properties of proportions) was created by by Shruti_Mishra(0) About Me : View Source, Show
About Shruti_Mishra: I am a maths graduate from India and am currently persuing masters in Operations Research.
Property 1
Product of Means = Product of Extremes

Property 2
If a:x::x:b i.e. x%5E2=a%2Ab, then x is known as the mean proportion of a and b

Property 3
If a:x::b:x i.e. b%5E2=a%2Ax, then x is known as the third proportion of a and b

Property 4
Duplicate ratio of a:b is a%5E2%3Ab%5E2 and sub-duplicate ratio of a:b is sqrt%28a%29%3Asqrt%28b%29

Property 5
Triplicate ratio of a:b is a%5E3%3Ab%5E3 and sub-triplicate ratio of a:b is root%283%2Ca%29%3Aroot%283%2Cb%29

Alternando Rule
a:b::c:d then a:c::b:d

Componendo Dividendo Rule
a%2Fb=c%2Fd => %28a%2Bb%29%2F%28a-b%29=%28c%2Bd%29%2F%28c-d%29

Property 8
If a/b = c/d = e/f, then a%2Fb+=+c%2Fd+=+e%2Ff+=+%28a%2Bc%2Be%29%2F%28b%2Bd%2Bf%29

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