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Finding the Third Proportional to 6.17 and 8.66

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Solution

The third proportional to 6.17 and 8.66 is: 12.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.17 : 8.66 = 8.66 : x
  2. Step 2: Convert to fraction form
    6.17/8.66 = 8.66/x
  3. Step 3: Cross multiply
    6.17x = 8.66 × 8.66
  4. Step 4: Simplify right side
    6.17x = 75.02
  5. Step 5: Solve for x
    x = 75.02/6.17
  6. Step 6: Final answer
    x = 12.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.