5 : □ : : 10 : 8 : : 15 : □

5 : `square` : : 10 : 8 : : 15 : `square`

Fill in the Blanks

5 : 4 : : 10 : 8 : : 15 : 12

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

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

Find the fourth proportional to 1.5, 4.5 and 3.5

Find the third proportional to a – b and a² – b²

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

Find the value of the unknown in the following proportion :

3 : 4 : : p : 12

If ax = by = cz, prove that
`x^2/(yz) + y^2/(zx) + z^2/(xy) = (bc)/a^2 + (ca)/b^2 + (ab)/c^2`.

Find the fourth proportional to 3, 12, 15

If x + 5 is the mean proportion between x + 2 and x + 9, find the value of x.

If a, b, c and d are in proportion, prove that: (ma + nb) : b = (mc + nd) : d

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

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