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Finding the Third Proportional to 121,608 and 261,324

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Solution

The third proportional to 121,608 and 261,324 is: 561,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608 : 261,324 = 261,324 : x
  2. Step 2: Convert to fraction form
    121,608/261,324 = 261,324/x
  3. Step 3: Cross multiply
    121,608x = 261,324 × 261,324
  4. Step 4: Simplify right side
    121,608x = 68,290,232,976
  5. Step 5: Solve for x
    x = 68,290,232,976/121,608
  6. Step 6: Final answer
    x = 561,560.37

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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.