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Finding the Third Proportional to 87,678 and 191,762

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Solution

The third proportional to 87,678 and 191,762 is: 419,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,678 : 191,762 = 191,762 : x
  2. Step 2: Convert to fraction form
    87,678/191,762 = 191,762/x
  3. Step 3: Cross multiply
    87,678x = 191,762 × 191,762
  4. Step 4: Simplify right side
    87,678x = 36,772,664,644
  5. Step 5: Solve for x
    x = 36,772,664,644/87,678
  6. Step 6: Final answer
    x = 419,405.83

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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.