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Finding the Third Proportional to 3.65 and 7.94

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Solution

The third proportional to 3.65 and 7.94 is: 17.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.65 : 7.94 = 7.94 : x
  2. Step 2: Convert to fraction form
    3.65/7.94 = 7.94/x
  3. Step 3: Cross multiply
    3.65x = 7.94 × 7.94
  4. Step 4: Simplify right side
    3.65x = 63.01
  5. Step 5: Solve for x
    x = 63.01/3.65
  6. Step 6: Final answer
    x = 17.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.