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Find the missing term in the proportion: \( \frac{0.3}{0.6}=\frac{3}{x} \) \( x=\square \)

Ask by Mckenzie Martin. in the United States
Feb 20,2025

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\( x = 6 \)

Solución

We are given the proportion 0.3/0.6 = 3/x. Step 1: Simplify the left-hand side:   0.3/0.6 = 1/2 Step 2: Set the simplified fraction equal to 3/x:   1/2 = 3/x Step 3: Solve for x by cross-multiplying:   1·x = 2·3   x = 6 Thus, the missing term is 6.

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Bonus Knowledge

To solve for \( x \) in the proportion \( \frac{0.3}{0.6} = \frac{3}{x} \), we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other: \[ 0.3 \cdot x = 3 \cdot 0.6. \] Calculating the right side gives us \( 3 \cdot 0.6 = 1.8 \). So now the equation simplifies to: \[ 0.3x = 1.8. \] Next, we can solve for \( x \) by dividing both sides by \( 0.3 \): \[ x = \frac{1.8}{0.3} = 6. \] Therefore, the missing term \( x \) is \( 6 \).

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