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Finding the Third Proportional to 31.48 and 81.55

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Solution

The third proportional to 31.48 and 81.55 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 81.55 = 81.55 : x
  2. Step 2: Convert to fraction form
    31.48/81.55 = 81.55/x
  3. Step 3: Cross multiply
    31.48x = 81.55 × 81.55
  4. Step 4: Simplify right side
    31.48x = 6,649.89
  5. Step 5: Solve for x
    x = 6,649.89/31.48
  6. Step 6: Final answer
    x = 211.21

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.