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Finding the Third Proportional to 40.82 and 63.66

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Solution

The third proportional to 40.82 and 63.66 is: 99.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 63.66 = 63.66 : x
  2. Step 2: Convert to fraction form
    40.82/63.66 = 63.66/x
  3. Step 3: Cross multiply
    40.82x = 63.66 × 63.66
  4. Step 4: Simplify right side
    40.82x = 4,052.21
  5. Step 5: Solve for x
    x = 4,052.21/40.82
  6. Step 6: Final answer
    x = 99.28

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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.