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Finding the Third Proportional to 87,008 and 189,995

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Solution

The third proportional to 87,008 and 189,995 is: 414,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008 : 189,995 = 189,995 : x
  2. Step 2: Convert to fraction form
    87,008/189,995 = 189,995/x
  3. Step 3: Cross multiply
    87,008x = 189,995 × 189,995
  4. Step 4: Simplify right side
    87,008x = 36,098,100,025
  5. Step 5: Solve for x
    x = 36,098,100,025/87,008
  6. Step 6: Final answer
    x = 414,882.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.