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Finding the Third Proportional to 8.66 and 16.36

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Solution

The third proportional to 8.66 and 16.36 is: 30.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.66 : 16.36 = 16.36 : x
  2. Step 2: Convert to fraction form
    8.66/16.36 = 16.36/x
  3. Step 3: Cross multiply
    8.66x = 16.36 × 16.36
  4. Step 4: Simplify right side
    8.66x = 267.55
  5. Step 5: Solve for x
    x = 267.55/8.66
  6. Step 6: Final answer
    x = 30.90

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.