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Finding the Third Proportional to 31,403 and 66,442

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Solution

The third proportional to 31,403 and 66,442 is: 140,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403 : 66,442 = 66,442 : x
  2. Step 2: Convert to fraction form
    31,403/66,442 = 66,442/x
  3. Step 3: Cross multiply
    31,403x = 66,442 × 66,442
  4. Step 4: Simplify right side
    31,403x = 4,414,539,364
  5. Step 5: Solve for x
    x = 4,414,539,364/31,403
  6. Step 6: Final answer
    x = 140,576.99

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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.