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Finding the Third Proportional to 270.49 and 576.98

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Solution

The third proportional to 270.49 and 576.98 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 576.98 = 576.98 : x
  2. Step 2: Convert to fraction form
    270.49/576.98 = 576.98/x
  3. Step 3: Cross multiply
    270.49x = 576.98 × 576.98
  4. Step 4: Simplify right side
    270.49x = 332,910.97
  5. Step 5: Solve for x
    x = 332,910.97/270.49
  6. Step 6: Final answer
    x = 1,230.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.