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Finding the Third Proportional to 31,443 and 66,126

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Solution

The third proportional to 31,443 and 66,126 is: 139,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443 : 66,126 = 66,126 : x
  2. Step 2: Convert to fraction form
    31,443/66,126 = 66,126/x
  3. Step 3: Cross multiply
    31,443x = 66,126 × 66,126
  4. Step 4: Simplify right side
    31,443x = 4,372,647,876
  5. Step 5: Solve for x
    x = 4,372,647,876/31,443
  6. Step 6: Final answer
    x = 139,065.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.