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Finding the Third Proportional to 38,876 and 80,205

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Solution

The third proportional to 38,876 and 80,205 is: 165,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876 : 80,205 = 80,205 : x
  2. Step 2: Convert to fraction form
    38,876/80,205 = 80,205/x
  3. Step 3: Cross multiply
    38,876x = 80,205 × 80,205
  4. Step 4: Simplify right side
    38,876x = 6,432,842,025
  5. Step 5: Solve for x
    x = 6,432,842,025/38,876
  6. Step 6: Final answer
    x = 165,470.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.