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Finding the Third Proportional to 31,180 and 66,252

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Solution

The third proportional to 31,180 and 66,252 is: 140,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180 : 66,252 = 66,252 : x
  2. Step 2: Convert to fraction form
    31,180/66,252 = 66,252/x
  3. Step 3: Cross multiply
    31,180x = 66,252 × 66,252
  4. Step 4: Simplify right side
    31,180x = 4,389,327,504
  5. Step 5: Solve for x
    x = 4,389,327,504/31,180
  6. Step 6: Final answer
    x = 140,773.81

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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.