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Finding the Third Proportional to 50,750 and 110,680

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Solution

The third proportional to 50,750 and 110,680 is: 241,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,750 : 110,680 = 110,680 : x
  2. Step 2: Convert to fraction form
    50,750/110,680 = 110,680/x
  3. Step 3: Cross multiply
    50,750x = 110,680 × 110,680
  4. Step 4: Simplify right side
    50,750x = 12,250,062,400
  5. Step 5: Solve for x
    x = 12,250,062,400/50,750
  6. Step 6: Final answer
    x = 241,380.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.