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Finding the Third Proportional to 8.01 and 12.28

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Solution

The third proportional to 8.01 and 12.28 is: 18.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.01 : 12.28 = 12.28 : x
  2. Step 2: Convert to fraction form
    8.01/12.28 = 12.28/x
  3. Step 3: Cross multiply
    8.01x = 12.28 × 12.28
  4. Step 4: Simplify right side
    8.01x = 150.81
  5. Step 5: Solve for x
    x = 150.81/8.01
  6. Step 6: Final answer
    x = 18.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.