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Finding the Third Proportional to 38,518 and 80,908

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Solution

The third proportional to 38,518 and 80,908 is: 169,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,518 : 80,908 = 80,908 : x
  2. Step 2: Convert to fraction form
    38,518/80,908 = 80,908/x
  3. Step 3: Cross multiply
    38,518x = 80,908 × 80,908
  4. Step 4: Simplify right side
    38,518x = 6,546,104,464
  5. Step 5: Solve for x
    x = 6,546,104,464/38,518
  6. Step 6: Final answer
    x = 169,949.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.