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Finding the Third Proportional to 31.75 and 50.38

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Solution

The third proportional to 31.75 and 50.38 is: 79.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 50.38 = 50.38 : x
  2. Step 2: Convert to fraction form
    31.75/50.38 = 50.38/x
  3. Step 3: Cross multiply
    31.75x = 50.38 × 50.38
  4. Step 4: Simplify right side
    31.75x = 2,537.64
  5. Step 5: Solve for x
    x = 2,537.64/31.75
  6. Step 6: Final answer
    x = 79.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.