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Finding the Third Proportional to 86,889 and 189,744

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Solution

The third proportional to 86,889 and 189,744 is: 414,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,889 : 189,744 = 189,744 : x
  2. Step 2: Convert to fraction form
    86,889/189,744 = 189,744/x
  3. Step 3: Cross multiply
    86,889x = 189,744 × 189,744
  4. Step 4: Simplify right side
    86,889x = 36,002,785,536
  5. Step 5: Solve for x
    x = 36,002,785,536/86,889
  6. Step 6: Final answer
    x = 414,353.78

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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.