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Finding the Third Proportional to 20.71 and 31.61

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Solution

The third proportional to 20.71 and 31.61 is: 48.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.71 : 31.61 = 31.61 : x
  2. Step 2: Convert to fraction form
    20.71/31.61 = 31.61/x
  3. Step 3: Cross multiply
    20.71x = 31.61 × 31.61
  4. Step 4: Simplify right side
    20.71x = 999.04
  5. Step 5: Solve for x
    x = 999.04/20.71
  6. Step 6: Final answer
    x = 48.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.