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Finding the Third Proportional to 205.13 and 268.69

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Solution

The third proportional to 205.13 and 268.69 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 268.69 = 268.69 : x
  2. Step 2: Convert to fraction form
    205.13/268.69 = 268.69/x
  3. Step 3: Cross multiply
    205.13x = 268.69 × 268.69
  4. Step 4: Simplify right side
    205.13x = 72,192.97
  5. Step 5: Solve for x
    x = 72,192.97/205.13
  6. Step 6: Final answer
    x = 351.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.