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Finding the Third Proportional to 87,638 and 190,932

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Solution

The third proportional to 87,638 and 190,932 is: 415,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,638 : 190,932 = 190,932 : x
  2. Step 2: Convert to fraction form
    87,638/190,932 = 190,932/x
  3. Step 3: Cross multiply
    87,638x = 190,932 × 190,932
  4. Step 4: Simplify right side
    87,638x = 36,455,028,624
  5. Step 5: Solve for x
    x = 36,455,028,624/87,638
  6. Step 6: Final answer
    x = 415,972.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.