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Finding the Third Proportional to 20,737 and 31,279

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Solution

The third proportional to 20,737 and 31,279 is: 47,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737 : 31,279 = 31,279 : x
  2. Step 2: Convert to fraction form
    20,737/31,279 = 31,279/x
  3. Step 3: Cross multiply
    20,737x = 31,279 × 31,279
  4. Step 4: Simplify right side
    20,737x = 978,375,841
  5. Step 5: Solve for x
    x = 978,375,841/20,737
  6. Step 6: Final answer
    x = 47,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.