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Finding the Third Proportional to 87,915 and 189,519

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Solution

The third proportional to 87,915 and 189,519 is: 408,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,915 : 189,519 = 189,519 : x
  2. Step 2: Convert to fraction form
    87,915/189,519 = 189,519/x
  3. Step 3: Cross multiply
    87,915x = 189,519 × 189,519
  4. Step 4: Simplify right side
    87,915x = 35,917,451,361
  5. Step 5: Solve for x
    x = 35,917,451,361/87,915
  6. Step 6: Final answer
    x = 408,547.48

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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.