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Finding the Third Proportional to 50,940 and 111,964.50

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Solution

The third proportional to 50,940 and 111,964.50 is: 246,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,940 : 111,964.50 = 111,964.50 : x
  2. Step 2: Convert to fraction form
    50,940/111,964.50 = 111,964.50/x
  3. Step 3: Cross multiply
    50,940x = 111,964.50 × 111,964.50
  4. Step 4: Simplify right side
    50,940x = 12,536,049,260.25
  5. Step 5: Solve for x
    x = 12,536,049,260.25/50,940
  6. Step 6: Final answer
    x = 246,094.41

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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.