Chech whether the given four numbers are in proportion. Write (T) if they are in proportion,
and give the middle terms and the exterme terms.
Wrire (F) if they ar not in proportion.
`14:35::24:60`

Answer

To determine if the numbers 14, 35, 24, and 60 are in proportion, we can follow these steps:

### Step-by-Step Solution:

1. **Write the Ratio as a Fraction**:
We can express the ratios as fractions:
\[ \frac{14}{35} \quad \text{and} \quad \frac{24}{60} \]

2. **Cross-Multiply**:
To check if these two fractions are equal, we will cross-multiply:
\[ 14 \times 60 \quad \text{and} \quad 35 \times 24 \]

3. **Calculate the Products**:
- Calculate \(14 \times 60\):
\[ 14 \times 60 = 840 \]
- Calculate \(35 \times 24\):
\[ 35 \times 24 = 840 \]

4. **Compare the Products**:
Now we compare the two products:
\[ 840 = 840 \]
Since both products are equal, we can conclude that the ratios are in proportion.

5. **Identify Middle and Extreme Terms**:
- The middle terms are 35 and 24.
- The extreme terms are 14 and 60.

### Conclusion:
Since the two products are equal, the numbers are in proportion. We write (T) for true.

### Final Answer:
(T)
Middle Terms: 35, 24
Extreme Terms: 14, 60

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