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Ratio and Proportion - 12. Third proportional example ( Enter your problem )
  1. Examples
Other related methods
  1. If `a:b:c=2:3:5` then find value of `(a^2+b^2+c^2)/(ab+bc+ca)`
  2. If `a:b=2:3,b:c=4:5` then find `a:b:c`
  3. If `a/b=c/d=e/f` then prove that `(2a+3c-4e)/(2b+3d-4f)=(5a-4c+3e)/(5b-4d+3f)`
  4. If `x/(y+z)=y/(z+x)=z/(x+y)` then prove the value of each ratio is `1/2` or `-1`
  5. Geometric Mean
  6. Duplicate ratio
  7. Triplicate ratio
  8. Sub-Duplicate ratio
  9. Sub-Triplicate ratio
  10. Compounded ratio
  11. Mean proportional
  12. Third proportional
  13. Fourth proportional
  14. Compare ratios

11. Mean proportional
(Previous method)
13. Fourth proportional
(Next method)

1. Examples





1. Find Third proportional of `16,36`

Solution:
If `x` is the third proportional to `a,b` then `a:b :: b:x`.


Let the third proportional to the numbers `16,36` be `x`.

Then, `16:36=36:x`

`:. 16/36=36/x`

`:. x = (36 xx 36)/(16)`

`:. x = 81`


2. Find Third proportional of `4,6`

Solution:
If `x` is the third proportional to `a,b` then `a:b :: b:x`.


Let the third proportional to the numbers `4,6` be `x`.

Then, `4:6=6:x`

`:. 4/6=6/x`

`:. x = (6 xx 6)/(4)`

`:. x = 9`




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11. Mean proportional
(Previous method)
13. Fourth proportional
(Next method)





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