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Finding the Third Proportional to 8.02 and 12.23

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Solution

The third proportional to 8.02 and 12.23 is: 18.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.02 : 12.23 = 12.23 : x
  2. Step 2: Convert to fraction form
    8.02/12.23 = 12.23/x
  3. Step 3: Cross multiply
    8.02x = 12.23 × 12.23
  4. Step 4: Simplify right side
    8.02x = 149.68
  5. Step 5: Solve for x
    x = 149.68/8.02
  6. Step 6: Final answer
    x = 18.67

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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.