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Finding the Third Proportional to 20,398 and 27,451

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Solution

The third proportional to 20,398 and 27,451 is: 36,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398 : 27,451 = 27,451 : x
  2. Step 2: Convert to fraction form
    20,398/27,451 = 27,451/x
  3. Step 3: Cross multiply
    20,398x = 27,451 × 27,451
  4. Step 4: Simplify right side
    20,398x = 753,557,401
  5. Step 5: Solve for x
    x = 753,557,401/20,398
  6. Step 6: Final answer
    x = 36,942.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.