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Finding the Third Proportional to 87,228 and 188,392

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Solution

The third proportional to 87,228 and 188,392 is: 406,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,228 : 188,392 = 188,392 : x
  2. Step 2: Convert to fraction form
    87,228/188,392 = 188,392/x
  3. Step 3: Cross multiply
    87,228x = 188,392 × 188,392
  4. Step 4: Simplify right side
    87,228x = 35,491,545,664
  5. Step 5: Solve for x
    x = 35,491,545,664/87,228
  6. Step 6: Final answer
    x = 406,882.49

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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.