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Finding the Third Proportional to 311,183 and 633,777

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Solution

The third proportional to 311,183 and 633,777 is: 1,290,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,183 : 633,777 = 633,777 : x
  2. Step 2: Convert to fraction form
    311,183/633,777 = 633,777/x
  3. Step 3: Cross multiply
    311,183x = 633,777 × 633,777
  4. Step 4: Simplify right side
    311,183x = 401,673,285,729
  5. Step 5: Solve for x
    x = 401,673,285,729/311,183
  6. Step 6: Final answer
    x = 1,290,794.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.