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Finding the Third Proportional to 31.32 and 46.99

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Solution

The third proportional to 31.32 and 46.99 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.32 : 46.99 = 46.99 : x
  2. Step 2: Convert to fraction form
    31.32/46.99 = 46.99/x
  3. Step 3: Cross multiply
    31.32x = 46.99 × 46.99
  4. Step 4: Simplify right side
    31.32x = 2,207.72
  5. Step 5: Solve for x
    x = 2,207.72/31.32
  6. Step 6: Final answer
    x = 70.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.