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Finding the Third Proportional to 120,019 and 261,198

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Solution

The third proportional to 120,019 and 261,198 is: 568,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,019 : 261,198 = 261,198 : x
  2. Step 2: Convert to fraction form
    120,019/261,198 = 261,198/x
  3. Step 3: Cross multiply
    120,019x = 261,198 × 261,198
  4. Step 4: Simplify right side
    120,019x = 68,224,395,204
  5. Step 5: Solve for x
    x = 68,224,395,204/120,019
  6. Step 6: Final answer
    x = 568,446.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.