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Finding the Third Proportional to 63.44 and 84.31

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Solution

The third proportional to 63.44 and 84.31 is: 112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.44 : 84.31 = 84.31 : x
  2. Step 2: Convert to fraction form
    63.44/84.31 = 84.31/x
  3. Step 3: Cross multiply
    63.44x = 84.31 × 84.31
  4. Step 4: Simplify right side
    63.44x = 7,108.60
  5. Step 5: Solve for x
    x = 7,108.60/63.44
  6. Step 6: Final answer
    x = 112.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.