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Finding the Third Proportional to 87,311 and 188,534

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Solution

The third proportional to 87,311 and 188,534 is: 407,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,311 : 188,534 = 188,534 : x
  2. Step 2: Convert to fraction form
    87,311/188,534 = 188,534/x
  3. Step 3: Cross multiply
    87,311x = 188,534 × 188,534
  4. Step 4: Simplify right side
    87,311x = 35,545,069,156
  5. Step 5: Solve for x
    x = 35,545,069,156/87,311
  6. Step 6: Final answer
    x = 407,108.72

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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.