If `3:5: : x: 2`, then find the value of x

Options

A. `1.4`
B. `1.2`
C. 1
D. `1.8`

Answer

To solve the proportion problem \(3:5::x:2\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Proportion**: The proportion \(3:5::x:2\) means that the ratio of 3 to 5 is the same as the ratio of \(x\) to 2. We can express this mathematically as:
\[ \frac{3}{5} = \frac{x}{2} \]

2. **Cross-Multiply**: To eliminate the fractions, we can cross-multiply:
\[ 3 \cdot 2 = 5 \cdot x \]
This simplifies to:
\[ 6 = 5x \]

3. **Solve for \(x\)**: To find \(x\), we need to isolate it. We can do this by dividing both sides of the equation by 5:
\[ x = \frac{6}{5} \]

4. **Convert to Decimal (if needed)**: If we want to express \(x\) as a decimal, we can perform the division:
\[ x = 1.2 \]

### Final Answer:
Thus, the value of \(x\) is \(1.2\).

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