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Finding the Third Proportional to 6.17 and 8.52

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Solution

The third proportional to 6.17 and 8.52 is: 11.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.17 : 8.52 = 8.52 : x
  2. Step 2: Convert to fraction form
    6.17/8.52 = 8.52/x
  3. Step 3: Cross multiply
    6.17x = 8.52 × 8.52
  4. Step 4: Simplify right side
    6.17x = 72.53
  5. Step 5: Solve for x
    x = 72.53/6.17
  6. Step 6: Final answer
    x = 11.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.