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Finding the Third Proportional to 20,439 and 39,897

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Solution

The third proportional to 20,439 and 39,897 is: 77,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 39,897 = 39,897 : x
  2. Step 2: Convert to fraction form
    20,439/39,897 = 39,897/x
  3. Step 3: Cross multiply
    20,439x = 39,897 × 39,897
  4. Step 4: Simplify right side
    20,439x = 1,591,770,609
  5. Step 5: Solve for x
    x = 1,591,770,609/20,439
  6. Step 6: Final answer
    x = 77,879.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.