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Finding the Third Proportional to 87,849 and 192,426

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Solution

The third proportional to 87,849 and 192,426 is: 421,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,849 : 192,426 = 192,426 : x
  2. Step 2: Convert to fraction form
    87,849/192,426 = 192,426/x
  3. Step 3: Cross multiply
    87,849x = 192,426 × 192,426
  4. Step 4: Simplify right side
    87,849x = 37,027,765,476
  5. Step 5: Solve for x
    x = 37,027,765,476/87,849
  6. Step 6: Final answer
    x = 421,493.31

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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.