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Finding the Third Proportional to 20.32 and 31.61

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Solution

The third proportional to 20.32 and 31.61 is: 49.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.32 : 31.61 = 31.61 : x
  2. Step 2: Convert to fraction form
    20.32/31.61 = 31.61/x
  3. Step 3: Cross multiply
    20.32x = 31.61 × 31.61
  4. Step 4: Simplify right side
    20.32x = 998.91
  5. Step 5: Solve for x
    x = 998.91/20.32
  6. Step 6: Final answer
    x = 49.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.