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Finding the Third Proportional to 87,434 and 189,554

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Solution

The third proportional to 87,434 and 189,554 is: 410,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,434 : 189,554 = 189,554 : x
  2. Step 2: Convert to fraction form
    87,434/189,554 = 189,554/x
  3. Step 3: Cross multiply
    87,434x = 189,554 × 189,554
  4. Step 4: Simplify right side
    87,434x = 35,930,718,916
  5. Step 5: Solve for x
    x = 35,930,718,916/87,434
  6. Step 6: Final answer
    x = 410,946.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.