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Finding the Third Proportional to 20,512 and 38,920

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Solution

The third proportional to 20,512 and 38,920 is: 73,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 38,920 = 38,920 : x
  2. Step 2: Convert to fraction form
    20,512/38,920 = 38,920/x
  3. Step 3: Cross multiply
    20,512x = 38,920 × 38,920
  4. Step 4: Simplify right side
    20,512x = 1,514,766,400
  5. Step 5: Solve for x
    x = 1,514,766,400/20,512
  6. Step 6: Final answer
    x = 73,847.82

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.