□ : 24 : : 3 : 8 - Mathematics

`square` : 24 : : 3 : 8

Fill in the Blanks

9 : 24 : : 3 : 8

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Chapter 3: Ratio and Proportion - Exercise 3.3 [Page 58]

Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (ii) | Page 58

6 is the mean proportion between two numbers x and y and 48 is the third proportional of x and y. Find the numbers.

Check whether the following numbers are in continued proportion.

1, 2, 3

Find the fourth proportional to:
x³ - y², x⁴ + x²y²+ y⁴, x - y.

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

Write (T) for true and (F) for false in case of the following:

81 kg : 45 kg : : 18 men : 10 men

If a, b, c and d are in proportion, prove that: `(a + c)^3/(b + d)^3 = (a(a - c)^2)/(b(b - d)^2)`

If a, b, c, d are in continued proportion, prove that: `((a - b)/c + (a - c)/b)^2 - ((d - b)/c + (d - c)/b)^2 = (a - d)^2 (1/c^2 - 1/b^2)`.

Are 30, 40, 45, and 60 in proportion?

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

21 : 6 : : 35 : 10

If x + y + z = 0, the value of `x/(y + z)` is ______.