Are `5,10,30 and 60` in proportion ?

Answer

To determine if the numbers 5, 10, 30, and 60 are in proportion, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the pairs to compare**:
We will compare the first pair (5 and 10) and the second pair (30 and 60).

2. **Calculate the ratio of the first pair (5 and 10)**:
\[ \text{Ratio of } 5 \text{ and } 10 = \frac{5}{10} \]
Simplifying this fraction:
\[ \frac{5}{10} = \frac{1}{2} \]
So, the ratio of 5 to 10 is 1:2.

3. **Calculate the ratio of the second pair (30 and 60)**:
\[ \text{Ratio of } 30 \text{ and } 60 = \frac{30}{60} \]
Simplifying this fraction:
\[ \frac{30}{60} = \frac{1}{2} \]
So, the ratio of 30 to 60 is also 1:2.

4. **Compare the two ratios**:
Since both ratios are equal:
\[ \frac{5}{10} = \frac{30}{60} \]
This means that the ratios are equal.

5. **Conclusion**:
Since the ratios are equal, we can conclude that the numbers 5, 10, 30, and 60 are in proportion.

### Final Answer:
Yes, the numbers 5, 10, 30, and 60 are in proportion.

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