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Finding the Third Proportional to 8.20 and 17.67

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Solution

The third proportional to 8.20 and 17.67 is: 38.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 17.67 = 17.67 : x
  2. Step 2: Convert to fraction form
    8.20/17.67 = 17.67/x
  3. Step 3: Cross multiply
    8.20x = 17.67 × 17.67
  4. Step 4: Simplify right side
    8.20x = 312.30
  5. Step 5: Solve for x
    x = 312.30/8.20
  6. Step 6: Final answer
    x = 38.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.