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Finding the Third Proportional to 121,608 and 261,198

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Solution

The third proportional to 121,608 and 261,198 is: 561,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608 : 261,198 = 261,198 : x
  2. Step 2: Convert to fraction form
    121,608/261,198 = 261,198/x
  3. Step 3: Cross multiply
    121,608x = 261,198 × 261,198
  4. Step 4: Simplify right side
    121,608x = 68,224,395,204
  5. Step 5: Solve for x
    x = 68,224,395,204/121,608
  6. Step 6: Final answer
    x = 561,018.97

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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.