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Finding the Third Proportional to 87,774 and 189,372

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Solution

The third proportional to 87,774 and 189,372 is: 408,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,774 : 189,372 = 189,372 : x
  2. Step 2: Convert to fraction form
    87,774/189,372 = 189,372/x
  3. Step 3: Cross multiply
    87,774x = 189,372 × 189,372
  4. Step 4: Simplify right side
    87,774x = 35,861,754,384
  5. Step 5: Solve for x
    x = 35,861,754,384/87,774
  6. Step 6: Final answer
    x = 408,569.22

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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.