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Finding the Third Proportional to 20,399 and 28,727

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Solution

The third proportional to 20,399 and 28,727 is: 40,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,399 : 28,727 = 28,727 : x
  2. Step 2: Convert to fraction form
    20,399/28,727 = 28,727/x
  3. Step 3: Cross multiply
    20,399x = 28,727 × 28,727
  4. Step 4: Simplify right side
    20,399x = 825,240,529
  5. Step 5: Solve for x
    x = 825,240,529/20,399
  6. Step 6: Final answer
    x = 40,454.95

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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.