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Finding the Third Proportional to 31,438.13 and 67,375.13

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Solution

The third proportional to 31,438.13 and 67,375.13 is: 144,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 67,375.13 = 67,375.13 : x
  2. Step 2: Convert to fraction form
    31,438.13/67,375.13 = 67,375.13/x
  3. Step 3: Cross multiply
    31,438.13x = 67,375.13 × 67,375.13
  4. Step 4: Simplify right side
    31,438.13x = 4,539,407,468.77
  5. Step 5: Solve for x
    x = 4,539,407,468.77/31,438.13
  6. Step 6: Final answer
    x = 144,391.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.