Find the third proportional to Rs. 3, Rs. 12 - Mathematics

Find the third proportional to Rs. 3, Rs. 12

Sum

Let x be the third proportional to Rs. 3 and Rs. 12
then Rs. 3 : Rs. 12 : : Rs. 12 : x
∴ x = `(12 xx 12)/(3)`
= 48
∴ Third proportional = Rs. 48.

shaalaa.com

Is there an error in this question or solution?

Chapter 7: Ratio and Proportion - Exercise 7.2

Chapter 7 Ratio and Proportion
Exercise 7.2 | Q 3.3

If `x/a = y/b = z/c` prove that `(2x^3 - 3y^3 + 4z^3)/(2a^3 - 3b^3 + 4c^3) = ((2x - 3y + 4z)/(2a - 3b + 4c))^3`

If (a² + b²)(x² + y²) = (ax + by)²; prove that: `a/x = b/y`.

If `(28 - x)` is the mean proportional of `(23 - x)`and `(19 - x)` then find the value of x.

a, b, c are in continued proportion. If a = 3 and c = 27 then find b.

Show that the following numbers are in continued proportion:

36, 90, 225

If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^3/b^2 + z^3/c^2 = (x+ y+ z)^3/(a + b+ c)^2`

Which of the following ratios are in proportion?

Write True (T) or False (F) against the following statement:

5.2 : 3.9 : : 3 : 4

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

200 mL : 2.5 litre and ₹ 4 : ₹ 50

The mean proportion between `3 + 2sqrt(2)` and `3 - 2sqrt(2)` is ______.