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Finding the Third Proportional to 31.97 and 63.73

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Solution

The third proportional to 31.97 and 63.73 is: 127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 63.73 = 63.73 : x
  2. Step 2: Convert to fraction form
    31.97/63.73 = 63.73/x
  3. Step 3: Cross multiply
    31.97x = 63.73 × 63.73
  4. Step 4: Simplify right side
    31.97x = 4,061.07
  5. Step 5: Solve for x
    x = 4,061.07/31.97
  6. Step 6: Final answer
    x = 127.03

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.