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Finding the Third Proportional to 12.69 and 28.19

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Solution

The third proportional to 12.69 and 28.19 is: 62.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.69 : 28.19 = 28.19 : x
  2. Step 2: Convert to fraction form
    12.69/28.19 = 28.19/x
  3. Step 3: Cross multiply
    12.69x = 28.19 × 28.19
  4. Step 4: Simplify right side
    12.69x = 794.54
  5. Step 5: Solve for x
    x = 794.54/12.69
  6. Step 6: Final answer
    x = 62.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.