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Finding the Third Proportional to 12.80 and 28.27

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Solution

The third proportional to 12.80 and 28.27 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.80 : 28.27 = 28.27 : x
  2. Step 2: Convert to fraction form
    12.80/28.27 = 28.27/x
  3. Step 3: Cross multiply
    12.80x = 28.27 × 28.27
  4. Step 4: Simplify right side
    12.80x = 798.95
  5. Step 5: Solve for x
    x = 798.95/12.80
  6. Step 6: Final answer
    x = 62.43

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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.