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Finding the Third Proportional to 20,427 and 31,551

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Solution

The third proportional to 20,427 and 31,551 is: 48,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 31,551 = 31,551 : x
  2. Step 2: Convert to fraction form
    20,427/31,551 = 31,551/x
  3. Step 3: Cross multiply
    20,427x = 31,551 × 31,551
  4. Step 4: Simplify right side
    20,427x = 995,465,601
  5. Step 5: Solve for x
    x = 995,465,601/20,427
  6. Step 6: Final answer
    x = 48,732.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.