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Finding the Third Proportional to 31.44 and 50.55

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Solution

The third proportional to 31.44 and 50.55 is: 81.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.44 : 50.55 = 50.55 : x
  2. Step 2: Convert to fraction form
    31.44/50.55 = 50.55/x
  3. Step 3: Cross multiply
    31.44x = 50.55 × 50.55
  4. Step 4: Simplify right side
    31.44x = 2,554.99
  5. Step 5: Solve for x
    x = 2,554.99/31.44
  6. Step 6: Final answer
    x = 81.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.