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Finding the Third Proportional to 31,372 and 68,963

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Solution

The third proportional to 31,372 and 68,963 is: 151,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372 : 68,963 = 68,963 : x
  2. Step 2: Convert to fraction form
    31,372/68,963 = 68,963/x
  3. Step 3: Cross multiply
    31,372x = 68,963 × 68,963
  4. Step 4: Simplify right side
    31,372x = 4,755,895,369
  5. Step 5: Solve for x
    x = 4,755,895,369/31,372
  6. Step 6: Final answer
    x = 151,596.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.