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Finding the Third Proportional to 20,963 and 29,881

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Solution

The third proportional to 20,963 and 29,881 is: 42,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963 : 29,881 = 29,881 : x
  2. Step 2: Convert to fraction form
    20,963/29,881 = 29,881/x
  3. Step 3: Cross multiply
    20,963x = 29,881 × 29,881
  4. Step 4: Simplify right side
    20,963x = 892,874,161
  5. Step 5: Solve for x
    x = 892,874,161/20,963
  6. Step 6: Final answer
    x = 42,592.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.