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Finding the Third Proportional to 67,348.13 and 100,438.31

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Solution

The third proportional to 67,348.13 and 100,438.31 is: 149,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348.13 : 100,438.31 = 100,438.31 : x
  2. Step 2: Convert to fraction form
    67,348.13/100,438.31 = 100,438.31/x
  3. Step 3: Cross multiply
    67,348.13x = 100,438.31 × 100,438.31
  4. Step 4: Simplify right side
    67,348.13x = 10,087,854,617.85
  5. Step 5: Solve for x
    x = 10,087,854,617.85/67,348.13
  6. Step 6: Final answer
    x = 149,786.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.