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Finding the Third Proportional to 3.65 and 7.85

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Solution

The third proportional to 3.65 and 7.85 is: 16.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.65 : 7.85 = 7.85 : x
  2. Step 2: Convert to fraction form
    3.65/7.85 = 7.85/x
  3. Step 3: Cross multiply
    3.65x = 7.85 × 7.85
  4. Step 4: Simplify right side
    3.65x = 61.59
  5. Step 5: Solve for x
    x = 61.59/3.65
  6. Step 6: Final answer
    x = 16.86

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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.