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Finding the Third Proportional to 7.65 and 11.92

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Solution

The third proportional to 7.65 and 11.92 is: 18.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 11.92 = 11.92 : x
  2. Step 2: Convert to fraction form
    7.65/11.92 = 11.92/x
  3. Step 3: Cross multiply
    7.65x = 11.92 × 11.92
  4. Step 4: Simplify right side
    7.65x = 142.20
  5. Step 5: Solve for x
    x = 142.20/7.65
  6. Step 6: Final answer
    x = 18.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.