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Finding the Third Proportional to 121.92 and 261.14

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Solution

The third proportional to 121.92 and 261.14 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 261.14 = 261.14 : x
  2. Step 2: Convert to fraction form
    121.92/261.14 = 261.14/x
  3. Step 3: Cross multiply
    121.92x = 261.14 × 261.14
  4. Step 4: Simplify right side
    121.92x = 68,194.43
  5. Step 5: Solve for x
    x = 68,194.43/121.92
  6. Step 6: Final answer
    x = 559.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.