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Finding the Third Proportional to 20,891 and 31,377

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Solution

The third proportional to 20,891 and 31,377 is: 47,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891 : 31,377 = 31,377 : x
  2. Step 2: Convert to fraction form
    20,891/31,377 = 31,377/x
  3. Step 3: Cross multiply
    20,891x = 31,377 × 31,377
  4. Step 4: Simplify right side
    20,891x = 984,516,129
  5. Step 5: Solve for x
    x = 984,516,129/20,891
  6. Step 6: Final answer
    x = 47,126.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.