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Finding the Third Proportional to 87,359 and 189,550

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Solution

The third proportional to 87,359 and 189,550 is: 411,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,359 : 189,550 = 189,550 : x
  2. Step 2: Convert to fraction form
    87,359/189,550 = 189,550/x
  3. Step 3: Cross multiply
    87,359x = 189,550 × 189,550
  4. Step 4: Simplify right side
    87,359x = 35,929,202,500
  5. Step 5: Solve for x
    x = 35,929,202,500/87,359
  6. Step 6: Final answer
    x = 411,282.21

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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.