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Finding the Third Proportional to 203,910 and 311,049

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Solution

The third proportional to 203,910 and 311,049 is: 474,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910 : 311,049 = 311,049 : x
  2. Step 2: Convert to fraction form
    203,910/311,049 = 311,049/x
  3. Step 3: Cross multiply
    203,910x = 311,049 × 311,049
  4. Step 4: Simplify right side
    203,910x = 96,751,480,401
  5. Step 5: Solve for x
    x = 96,751,480,401/203,910
  6. Step 6: Final answer
    x = 474,481.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.