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Finding the Third Proportional to 31.13 and 62.91

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Solution

The third proportional to 31.13 and 62.91 is: 127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 62.91 = 62.91 : x
  2. Step 2: Convert to fraction form
    31.13/62.91 = 62.91/x
  3. Step 3: Cross multiply
    31.13x = 62.91 × 62.91
  4. Step 4: Simplify right side
    31.13x = 3,957.20
  5. Step 5: Solve for x
    x = 3,957.20/31.13
  6. Step 6: Final answer
    x = 127.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.