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Finding the Third Proportional to 3.68 and 7.84

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Solution

The third proportional to 3.68 and 7.84 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.68 : 7.84 = 7.84 : x
  2. Step 2: Convert to fraction form
    3.68/7.84 = 7.84/x
  3. Step 3: Cross multiply
    3.68x = 7.84 × 7.84
  4. Step 4: Simplify right side
    3.68x = 61.47
  5. Step 5: Solve for x
    x = 61.47/3.68
  6. Step 6: Final answer
    x = 16.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.