Question

Determine if the following ratios are in proportion.
(a) 48 kg : 6 kg and 25 g: 200 g​

Answer 1

Step-by-step explanation:

48kg:6kg and 25g: 200g

8kg and 1/8

8:1::8/1

Answer 2

No, the given ratios are not in proportion.

Step-by-step explanation:

We are given the following ratios;

48 kg : 6 kg and 25 g : 200 g

Firstly, making both the ratios in same units;

  1 kg = 1000 g

 48 kg = 48 $\times$ 1000 = 48000 g

Similarly, 6 kg = 6 $\times$ 1000 = 6000 g

Now, the accurate ratios are;

48000 g : 6000 g and 25 g : 200 g

To conclude that the ratios are in proportion, the condition is that;

   Product of means = Product of extremes

   $6000 \times 25 \neq 48000 \times 200$

       150000 $\neq$ 9600000

Since these both products are not equal which mean that the given ratios are not in proportion.