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Finding the Third Proportional to 13.03 and 28.10

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Solution

The third proportional to 13.03 and 28.10 is: 60.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 28.10 = 28.10 : x
  2. Step 2: Convert to fraction form
    13.03/28.10 = 28.10/x
  3. Step 3: Cross multiply
    13.03x = 28.10 × 28.10
  4. Step 4: Simplify right side
    13.03x = 789.62
  5. Step 5: Solve for x
    x = 789.62/13.03
  6. Step 6: Final answer
    x = 60.61

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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.