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Finding the Third Proportional to 120,950 and 263,400

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Solution

The third proportional to 120,950 and 263,400 is: 573,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,950 : 263,400 = 263,400 : x
  2. Step 2: Convert to fraction form
    120,950/263,400 = 263,400/x
  3. Step 3: Cross multiply
    120,950x = 263,400 × 263,400
  4. Step 4: Simplify right side
    120,950x = 69,379,560,000
  5. Step 5: Solve for x
    x = 69,379,560,000/120,950
  6. Step 6: Final answer
    x = 573,621.83

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Why These Related Problems?

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