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Finding the Third Proportional to 87,516 and 191,976

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Solution

The third proportional to 87,516 and 191,976 is: 421,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,516 : 191,976 = 191,976 : x
  2. Step 2: Convert to fraction form
    87,516/191,976 = 191,976/x
  3. Step 3: Cross multiply
    87,516x = 191,976 × 191,976
  4. Step 4: Simplify right side
    87,516x = 36,854,784,576
  5. Step 5: Solve for x
    x = 36,854,784,576/87,516
  6. Step 6: Final answer
    x = 421,120.53

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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.