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Finding the Third Proportional to 87,841.50 and 189,411

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Solution

The third proportional to 87,841.50 and 189,411 is: 408,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,841.50 : 189,411 = 189,411 : x
  2. Step 2: Convert to fraction form
    87,841.50/189,411 = 189,411/x
  3. Step 3: Cross multiply
    87,841.50x = 189,411 × 189,411
  4. Step 4: Simplify right side
    87,841.50x = 35,876,526,921
  5. Step 5: Solve for x
    x = 35,876,526,921/87,841.50
  6. Step 6: Final answer
    x = 408,423.43

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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.