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Finding the Third Proportional to 87,340 and 189,512

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Solution

The third proportional to 87,340 and 189,512 is: 411,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,340 : 189,512 = 189,512 : x
  2. Step 2: Convert to fraction form
    87,340/189,512 = 189,512/x
  3. Step 3: Cross multiply
    87,340x = 189,512 × 189,512
  4. Step 4: Simplify right side
    87,340x = 35,914,798,144
  5. Step 5: Solve for x
    x = 35,914,798,144/87,340
  6. Step 6: Final answer
    x = 411,206.76

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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.