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Finding the Third Proportional to 87,436 and 189,558

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Solution

The third proportional to 87,436 and 189,558 is: 410,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,436 : 189,558 = 189,558 : x
  2. Step 2: Convert to fraction form
    87,436/189,558 = 189,558/x
  3. Step 3: Cross multiply
    87,436x = 189,558 × 189,558
  4. Step 4: Simplify right side
    87,436x = 35,932,235,364
  5. Step 5: Solve for x
    x = 35,932,235,364/87,436
  6. Step 6: Final answer
    x = 410,954.70

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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.