□ : 24 : : 3 : 8

`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

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)`

Check whether the following numbers are in continued proportion.

3, 5, 8

Find the mean proportion of the following :

24 and 6

If y is the mean proportional between x and z, show that :

xyz (x+y+z)³ =(xy+yz+xz)³

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.

Find the fourth proportional to 3, 12, 15

Find the fourth proportional to 9.6 kg, 7.2 kg, 28.8 kg

Determine if the following numbers are in proportion:

22, 33, 42, 63

Verify the following:

91 : 104 : : 119 : 136

Show that the following numbers are in continued proportion:

48, 60, 75