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Finding the Third Proportional to 67,750 and 100,643

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Solution

The third proportional to 67,750 and 100,643 is: 149,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,750 : 100,643 = 100,643 : x
  2. Step 2: Convert to fraction form
    67,750/100,643 = 100,643/x
  3. Step 3: Cross multiply
    67,750x = 100,643 × 100,643
  4. Step 4: Simplify right side
    67,750x = 10,129,013,449
  5. Step 5: Solve for x
    x = 10,129,013,449/67,750
  6. Step 6: Final answer
    x = 149,505.73

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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.