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Finding the Third Proportional to 12,939 and 20,217.50

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Solution

The third proportional to 12,939 and 20,217.50 is: 31,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939 : 20,217.50 = 20,217.50 : x
  2. Step 2: Convert to fraction form
    12,939/20,217.50 = 20,217.50/x
  3. Step 3: Cross multiply
    12,939x = 20,217.50 × 20,217.50
  4. Step 4: Simplify right side
    12,939x = 408,747,306.25
  5. Step 5: Solve for x
    x = 408,747,306.25/12,939
  6. Step 6: Final answer
    x = 31,590.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.