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Finding the Third Proportional to 81,334 and 176,245

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Solution

The third proportional to 81,334 and 176,245 is: 381,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,334 : 176,245 = 176,245 : x
  2. Step 2: Convert to fraction form
    81,334/176,245 = 176,245/x
  3. Step 3: Cross multiply
    81,334x = 176,245 × 176,245
  4. Step 4: Simplify right side
    81,334x = 31,062,300,025
  5. Step 5: Solve for x
    x = 31,062,300,025/81,334
  6. Step 6: Final answer
    x = 381,910.39

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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.