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Finding the Third Proportional to 7.92 and 18.68

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Solution

The third proportional to 7.92 and 18.68 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.92 : 18.68 = 18.68 : x
  2. Step 2: Convert to fraction form
    7.92/18.68 = 18.68/x
  3. Step 3: Cross multiply
    7.92x = 18.68 × 18.68
  4. Step 4: Simplify right side
    7.92x = 348.93
  5. Step 5: Solve for x
    x = 348.93/7.92
  6. Step 6: Final answer
    x = 44.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.