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Finding the Third Proportional to 20,386 and 38,212

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Solution

The third proportional to 20,386 and 38,212 is: 71,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386 : 38,212 = 38,212 : x
  2. Step 2: Convert to fraction form
    20,386/38,212 = 38,212/x
  3. Step 3: Cross multiply
    20,386x = 38,212 × 38,212
  4. Step 4: Simplify right side
    20,386x = 1,460,156,944
  5. Step 5: Solve for x
    x = 1,460,156,944/20,386
  6. Step 6: Final answer
    x = 71,625.48

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.