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Finding the Third Proportional to 47,192,190 and 111,245,110

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Solution

The third proportional to 47,192,190 and 111,245,110 is: 262,235,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,190 : 111,245,110 = 111,245,110 : x
  2. Step 2: Convert to fraction form
    47,192,190/111,245,110 = 111,245,110/x
  3. Step 3: Cross multiply
    47,192,190x = 111,245,110 × 111,245,110
  4. Step 4: Simplify right side
    47,192,190x = 12,375,474,498,912,100
  5. Step 5: Solve for x
    x = 12,375,474,498,912,100/47,192,190
  6. Step 6: Final answer
    x = 262,235,647.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.