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Finding the Third Proportional to 38,109 and 50,911

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Solution

The third proportional to 38,109 and 50,911 is: 68,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109 : 50,911 = 50,911 : x
  2. Step 2: Convert to fraction form
    38,109/50,911 = 50,911/x
  3. Step 3: Cross multiply
    38,109x = 50,911 × 50,911
  4. Step 4: Simplify right side
    38,109x = 2,591,929,921
  5. Step 5: Solve for x
    x = 2,591,929,921/38,109
  6. Step 6: Final answer
    x = 68,013.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.