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Finding the Third Proportional to 31,737 and 69,703

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Solution

The third proportional to 31,737 and 69,703 is: 153,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737 : 69,703 = 69,703 : x
  2. Step 2: Convert to fraction form
    31,737/69,703 = 69,703/x
  3. Step 3: Cross multiply
    31,737x = 69,703 × 69,703
  4. Step 4: Simplify right side
    31,737x = 4,858,508,209
  5. Step 5: Solve for x
    x = 4,858,508,209/31,737
  6. Step 6: Final answer
    x = 153,086.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.