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Finding the Third Proportional to 31.50 and 50.44

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Solution

The third proportional to 31.50 and 50.44 is: 80.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 50.44 = 50.44 : x
  2. Step 2: Convert to fraction form
    31.50/50.44 = 50.44/x
  3. Step 3: Cross multiply
    31.50x = 50.44 × 50.44
  4. Step 4: Simplify right side
    31.50x = 2,543.94
  5. Step 5: Solve for x
    x = 2,543.94/31.50
  6. Step 6: Final answer
    x = 80.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.