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Finding the Third Proportional to 31,755 and 68,982

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Solution

The third proportional to 31,755 and 68,982 is: 149,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755 : 68,982 = 68,982 : x
  2. Step 2: Convert to fraction form
    31,755/68,982 = 68,982/x
  3. Step 3: Cross multiply
    31,755x = 68,982 × 68,982
  4. Step 4: Simplify right side
    31,755x = 4,758,516,324
  5. Step 5: Solve for x
    x = 4,758,516,324/31,755
  6. Step 6: Final answer
    x = 149,850.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.