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Finding the Third Proportional to 33,986 and 49,980

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Solution

The third proportional to 33,986 and 49,980 is: 73,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986 : 49,980 = 49,980 : x
  2. Step 2: Convert to fraction form
    33,986/49,980 = 49,980/x
  3. Step 3: Cross multiply
    33,986x = 49,980 × 49,980
  4. Step 4: Simplify right side
    33,986x = 2,498,000,400
  5. Step 5: Solve for x
    x = 2,498,000,400/33,986
  6. Step 6: Final answer
    x = 73,500.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.