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Finding the Third Proportional to 39,306.50 and 55,439

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Solution

The third proportional to 39,306.50 and 55,439 is: 78,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306.50 : 55,439 = 55,439 : x
  2. Step 2: Convert to fraction form
    39,306.50/55,439 = 55,439/x
  3. Step 3: Cross multiply
    39,306.50x = 55,439 × 55,439
  4. Step 4: Simplify right side
    39,306.50x = 3,073,482,721
  5. Step 5: Solve for x
    x = 3,073,482,721/39,306.50
  6. Step 6: Final answer
    x = 78,192.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.