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Finding the Third Proportional to 67,840 and 99,727

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Solution

The third proportional to 67,840 and 99,727 is: 146,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840 : 99,727 = 99,727 : x
  2. Step 2: Convert to fraction form
    67,840/99,727 = 99,727/x
  3. Step 3: Cross multiply
    67,840x = 99,727 × 99,727
  4. Step 4: Simplify right side
    67,840x = 9,945,474,529
  5. Step 5: Solve for x
    x = 9,945,474,529/67,840
  6. Step 6: Final answer
    x = 146,601.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.