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Finding the Third Proportional to 87,661 and 189,330

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Solution

The third proportional to 87,661 and 189,330 is: 408,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,661 : 189,330 = 189,330 : x
  2. Step 2: Convert to fraction form
    87,661/189,330 = 189,330/x
  3. Step 3: Cross multiply
    87,661x = 189,330 × 189,330
  4. Step 4: Simplify right side
    87,661x = 35,845,848,900
  5. Step 5: Solve for x
    x = 35,845,848,900/87,661
  6. Step 6: Final answer
    x = 408,914.44

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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.