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Finding the Third Proportional to 3.69 and 7.64

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Solution

The third proportional to 3.69 and 7.64 is: 15.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.69 : 7.64 = 7.64 : x
  2. Step 2: Convert to fraction form
    3.69/7.64 = 7.64/x
  3. Step 3: Cross multiply
    3.69x = 7.64 × 7.64
  4. Step 4: Simplify right side
    3.69x = 58.38
  5. Step 5: Solve for x
    x = 58.38/3.69
  6. Step 6: Final answer
    x = 15.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.