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Finding the Third Proportional to 87,901 and 189,491

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Solution

The third proportional to 87,901 and 189,491 is: 408,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,901 : 189,491 = 189,491 : x
  2. Step 2: Convert to fraction form
    87,901/189,491 = 189,491/x
  3. Step 3: Cross multiply
    87,901x = 189,491 × 189,491
  4. Step 4: Simplify right side
    87,901x = 35,906,839,081
  5. Step 5: Solve for x
    x = 35,906,839,081/87,901
  6. Step 6: Final answer
    x = 408,491.82

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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.