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Finding the Third Proportional to 87,911 and 189,511

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Solution

The third proportional to 87,911 and 189,511 is: 408,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,911 : 189,511 = 189,511 : x
  2. Step 2: Convert to fraction form
    87,911/189,511 = 189,511/x
  3. Step 3: Cross multiply
    87,911x = 189,511 × 189,511
  4. Step 4: Simplify right side
    87,911x = 35,914,419,121
  5. Step 5: Solve for x
    x = 35,914,419,121/87,911
  6. Step 6: Final answer
    x = 408,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.