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Finding the Third Proportional to 87,824 and 189,376

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Solution

The third proportional to 87,824 and 189,376 is: 408,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,824 : 189,376 = 189,376 : x
  2. Step 2: Convert to fraction form
    87,824/189,376 = 189,376/x
  3. Step 3: Cross multiply
    87,824x = 189,376 × 189,376
  4. Step 4: Simplify right side
    87,824x = 35,863,269,376
  5. Step 5: Solve for x
    x = 35,863,269,376/87,824
  6. Step 6: Final answer
    x = 408,353.86

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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.