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Finding the Third Proportional to 87,678 and 191,756

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Solution

The third proportional to 87,678 and 191,756 is: 419,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,678 : 191,756 = 191,756 : x
  2. Step 2: Convert to fraction form
    87,678/191,756 = 191,756/x
  3. Step 3: Cross multiply
    87,678x = 191,756 × 191,756
  4. Step 4: Simplify right side
    87,678x = 36,770,363,536
  5. Step 5: Solve for x
    x = 36,770,363,536/87,678
  6. Step 6: Final answer
    x = 419,379.59

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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.