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Finding the Third Proportional to 31,732.50 and 67,540.13

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Solution

The third proportional to 31,732.50 and 67,540.13 is: 143,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732.50 : 67,540.13 = 67,540.13 : x
  2. Step 2: Convert to fraction form
    31,732.50/67,540.13 = 67,540.13/x
  3. Step 3: Cross multiply
    31,732.50x = 67,540.13 × 67,540.13
  4. Step 4: Simplify right side
    31,732.50x = 4,561,668,485.02
  5. Step 5: Solve for x
    x = 4,561,668,485.02/31,732.50
  6. Step 6: Final answer
    x = 143,753.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.