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Finding the Third Proportional to 31,439 and 66,118

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Solution

The third proportional to 31,439 and 66,118 is: 139,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439 : 66,118 = 66,118 : x
  2. Step 2: Convert to fraction form
    31,439/66,118 = 66,118/x
  3. Step 3: Cross multiply
    31,439x = 66,118 × 66,118
  4. Step 4: Simplify right side
    31,439x = 4,371,589,924
  5. Step 5: Solve for x
    x = 4,371,589,924/31,439
  6. Step 6: Final answer
    x = 139,049.90

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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.