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Finding the Third Proportional to 31.88 and 49.13

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Solution

The third proportional to 31.88 and 49.13 is: 75.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.88 : 49.13 = 49.13 : x
  2. Step 2: Convert to fraction form
    31.88/49.13 = 49.13/x
  3. Step 3: Cross multiply
    31.88x = 49.13 × 49.13
  4. Step 4: Simplify right side
    31.88x = 2,413.27
  5. Step 5: Solve for x
    x = 2,413.27/31.88
  6. Step 6: Final answer
    x = 75.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.