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Finding the Third Proportional to 81,771 and 176,445

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Solution

The third proportional to 81,771 and 176,445 is: 380,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,771 : 176,445 = 176,445 : x
  2. Step 2: Convert to fraction form
    81,771/176,445 = 176,445/x
  3. Step 3: Cross multiply
    81,771x = 176,445 × 176,445
  4. Step 4: Simplify right side
    81,771x = 31,132,838,025
  5. Step 5: Solve for x
    x = 31,132,838,025/81,771
  6. Step 6: Final answer
    x = 380,732.02

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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.