If_..!._, X and _..!._Are in Continued Proportion , Find X.

If `1/12` , x and `1/75` are in continued proportion , find x.

Sum

Since `1/12` , x and `1/75` are in continued proportion.

`=> 1/12 : "x" : : "x" : 1/75`

`=> "x"^2 = 1/12 xx 1/75`

`=> x = sqrt (1/900)`

`=> "x"=1/30``1/30`

shaalaa.com

Is there an error in this question or solution?

Chapter 7: Ratio and Proportion - Exercise 9.2

Chapter 7 Ratio and Proportion
Exercise 9.2 | Q 6

Using properties of proportion, solve for x:

`(sqrt(x + 1) + sqrt(x - 1))/(sqrt(x + 1) - sqrt(x - 1)) = (4x - 1)/2`

If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second.

If a, b, c, d are in continued proportion, prove that:
`sqrt(ab) - sqrt(bc) + sqrt(cd) = sqrt((a - b + c) (b - c + d)`

Find the fourth proportional to `(1)/(3), (1)/(4), (1)/(5)`

Find the fourth proportional to 1.5, 2.5, 4.5

Find the value of x if 5 : 3 : : x : 6.

If a, b, c, d are in continued proportion, prove that: (a² – b²) (c² – d²) = (b² – c²)²

Are the ratios 25g: 30g and 40 kg: 48 kg in proportion?

`square` : 24 : : 3 : 8

If x, 2, 10 and y are in continued proportion, the values of x and y are respectively: