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Finding the Third Proportional to 73,921 and 158,912

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Solution

The third proportional to 73,921 and 158,912 is: 341,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,921 : 158,912 = 158,912 : x
  2. Step 2: Convert to fraction form
    73,921/158,912 = 158,912/x
  3. Step 3: Cross multiply
    73,921x = 158,912 × 158,912
  4. Step 4: Simplify right side
    73,921x = 25,253,023,744
  5. Step 5: Solve for x
    x = 25,253,023,744/73,921
  6. Step 6: Final answer
    x = 341,621.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.