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Finding the Third Proportional to 40.92 and 69.68

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Solution

The third proportional to 40.92 and 69.68 is: 118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 69.68 = 69.68 : x
  2. Step 2: Convert to fraction form
    40.92/69.68 = 69.68/x
  3. Step 3: Cross multiply
    40.92x = 69.68 × 69.68
  4. Step 4: Simplify right side
    40.92x = 4,855.26
  5. Step 5: Solve for x
    x = 4,855.26/40.92
  6. Step 6: Final answer
    x = 118.65

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.