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Finding the Third Proportional to 149,934 and 322,099

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Solution

The third proportional to 149,934 and 322,099 is: 691,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,934 : 322,099 = 322,099 : x
  2. Step 2: Convert to fraction form
    149,934/322,099 = 322,099/x
  3. Step 3: Cross multiply
    149,934x = 322,099 × 322,099
  4. Step 4: Simplify right side
    149,934x = 103,747,765,801
  5. Step 5: Solve for x
    x = 103,747,765,801/149,934
  6. Step 6: Final answer
    x = 691,956.23

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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.