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Finding the Third Proportional to 12.04 and 28.40

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Solution

The third proportional to 12.04 and 28.40 is: 66.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.04 : 28.40 = 28.40 : x
  2. Step 2: Convert to fraction form
    12.04/28.40 = 28.40/x
  3. Step 3: Cross multiply
    12.04x = 28.40 × 28.40
  4. Step 4: Simplify right side
    12.04x = 806.66
  5. Step 5: Solve for x
    x = 806.66/12.04
  6. Step 6: Final answer
    x = 66.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.