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Finding the Third Proportional to 87,988 and 192,605

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Solution

The third proportional to 87,988 and 192,605 is: 421,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,988 : 192,605 = 192,605 : x
  2. Step 2: Convert to fraction form
    87,988/192,605 = 192,605/x
  3. Step 3: Cross multiply
    87,988x = 192,605 × 192,605
  4. Step 4: Simplify right side
    87,988x = 37,096,686,025
  5. Step 5: Solve for x
    x = 37,096,686,025/87,988
  6. Step 6: Final answer
    x = 421,610.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.