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Finding the Third Proportional to 87,727 and 189,245

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Solution

The third proportional to 87,727 and 189,245 is: 408,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,727 : 189,245 = 189,245 : x
  2. Step 2: Convert to fraction form
    87,727/189,245 = 189,245/x
  3. Step 3: Cross multiply
    87,727x = 189,245 × 189,245
  4. Step 4: Simplify right side
    87,727x = 35,813,670,025
  5. Step 5: Solve for x
    x = 35,813,670,025/87,727
  6. Step 6: Final answer
    x = 408,239.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.