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Finding the Third Proportional to 31,437 and 66,505

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Solution

The third proportional to 31,437 and 66,505 is: 140,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,437 : 66,505 = 66,505 : x
  2. Step 2: Convert to fraction form
    31,437/66,505 = 66,505/x
  3. Step 3: Cross multiply
    31,437x = 66,505 × 66,505
  4. Step 4: Simplify right side
    31,437x = 4,422,915,025
  5. Step 5: Solve for x
    x = 4,422,915,025/31,437
  6. Step 6: Final answer
    x = 140,691.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.