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Finding the Third Proportional to 121.92 and 268.52

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Solution

The third proportional to 121.92 and 268.52 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 268.52 = 268.52 : x
  2. Step 2: Convert to fraction form
    121.92/268.52 = 268.52/x
  3. Step 3: Cross multiply
    121.92x = 268.52 × 268.52
  4. Step 4: Simplify right side
    121.92x = 72,104.84
  5. Step 5: Solve for x
    x = 72,104.84/121.92
  6. Step 6: Final answer
    x = 591.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.