Check whether the following numbers are in continued proportion. 3, 5, 8 - Algebra

Check whether the following numbers are in continued proportion.

3, 5, 8

एका वाक्यात उत्तर

Since $\frac{3}{5} \neq \frac{5}{8}$ , so the numbers 3, 5, 8 are not in continued proportion.

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पाठ 4: Ratio and Proportion - Problem Set 4 [पृष्ठ ७८]

पाठ 4 Ratio and Proportion
Problem Set 4 | Q (4) (iv) | पृष्ठ ७८

If p : q = r : s; then show that: mp + nq : q = mr + ns : s.

If q is the mean proportional between p and r, prove that
$p^{2} - q^{2} + r^{2} = q^{4} [\frac{1}{p^{2}} - \frac{1}{q^{2}} + \frac{1}{r^{2}}]$ .

Find the value of x in each of the following proportion:

27 : x : : 63 : 84

Determine if the following ratio form a proportion:

39 litres : 65 litres and 6 bottles : 10 bottles

The weight of 65 books is 13 kg.
(i) What is the weight of 80 such books?
(ii) How many such books weigh 6.4 kg?

If b is the mean proportional between a and c, prove that (ab + bc) is the mean proportional between (a² + b²) and (b² + c²).

Write the mean and extreme terms in the following ratios and check whether they are in proportion.

78 litre is to 130 litre and 12 bottles is to 20 bottles

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

2 kg : 80 kg and 25 g : 625 g

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 $3 + 2 \sqrt{2}$ and $3 - 2 \sqrt{2}$ is ______.