Lesson Properties of proportions
Algebra
->
Proportions
-> Lesson Properties of proportions
Log On
Algebra: Proportions
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Source code of 'Properties of proportions'
This Lesson (Properties of proportions)
was created by by
Shruti_Mishra(0)
:
View Source
,
Show
About Shruti_Mishra
:
I am a maths graduate from India and am currently persuing masters in Operations Research.
<b>Property 1</b> Product of Means = Product of Extremes <b>Property 2</b> If a:x::x:b i.e. {{{x^2=a*b}}}, then x is known as the mean proportion of a and b <b>Property 3</b> If a:x::b:x i.e. {{{b^2=a*x}}}, then x is known as the third proportion of a and b <b>Property 4</b> Duplicate ratio of a:b is {{{a^2:b^2}}} and sub-duplicate ratio of a:b is {{{sqrt(a):sqrt(b)}}} <b>Property 5</b> Triplicate ratio of a:b is {{{a^3:b^3}}} and sub-triplicate ratio of a:b is {{{root(3,a):root(3,b)}}} <b>Alternando Rule</b> a:b::c:d then a:c::b:d <b>Componendo Dividendo Rule</b> {{{a/b=c/d}}} => {{{(a+b)/(a-b)=(c+d)/(c-d)}}} <b>Property 8</b> If a/b = c/d = e/f, then {{{a/b = c/d = e/f = (a+c+e)/(b+d+f)}}}