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Finding the Third Proportional to 121.88 and 269.69

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Solution

The third proportional to 121.88 and 269.69 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 269.69 = 269.69 : x
  2. Step 2: Convert to fraction form
    121.88/269.69 = 269.69/x
  3. Step 3: Cross multiply
    121.88x = 269.69 × 269.69
  4. Step 4: Simplify right side
    121.88x = 72,731.35
  5. Step 5: Solve for x
    x = 72,731.35/121.88
  6. Step 6: Final answer
    x = 596.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.