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Finding the Third Proportional to 87,794 and 189,630

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Solution

The third proportional to 87,794 and 189,630 is: 409,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,794 : 189,630 = 189,630 : x
  2. Step 2: Convert to fraction form
    87,794/189,630 = 189,630/x
  3. Step 3: Cross multiply
    87,794x = 189,630 × 189,630
  4. Step 4: Simplify right side
    87,794x = 35,959,536,900
  5. Step 5: Solve for x
    x = 35,959,536,900/87,794
  6. Step 6: Final answer
    x = 409,589.91

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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.