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Finding the Third Proportional to 269.20 and 581.39

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Solution

The third proportional to 269.20 and 581.39 is: 1,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 581.39 = 581.39 : x
  2. Step 2: Convert to fraction form
    269.20/581.39 = 581.39/x
  3. Step 3: Cross multiply
    269.20x = 581.39 × 581.39
  4. Step 4: Simplify right side
    269.20x = 338,015.06
  5. Step 5: Solve for x
    x = 338,015.06/269.20
  6. Step 6: Final answer
    x = 1,255.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.