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Finding the Third Proportional to 50,950 and 111,986

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Solution

The third proportional to 50,950 and 111,986 is: 246,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,950 : 111,986 = 111,986 : x
  2. Step 2: Convert to fraction form
    50,950/111,986 = 111,986/x
  3. Step 3: Cross multiply
    50,950x = 111,986 × 111,986
  4. Step 4: Simplify right side
    50,950x = 12,540,864,196
  5. Step 5: Solve for x
    x = 12,540,864,196/50,950
  6. Step 6: Final answer
    x = 246,140.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.