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Finding the Third Proportional to 40.92 and 68.45

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Solution

The third proportional to 40.92 and 68.45 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 68.45 = 68.45 : x
  2. Step 2: Convert to fraction form
    40.92/68.45 = 68.45/x
  3. Step 3: Cross multiply
    40.92x = 68.45 × 68.45
  4. Step 4: Simplify right side
    40.92x = 4,685.30
  5. Step 5: Solve for x
    x = 4,685.30/40.92
  6. Step 6: Final answer
    x = 114.49

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.