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Finding the Third Proportional to 203,914 and 311,055

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Solution

The third proportional to 203,914 and 311,055 is: 474,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914 : 311,055 = 311,055 : x
  2. Step 2: Convert to fraction form
    203,914/311,055 = 311,055/x
  3. Step 3: Cross multiply
    203,914x = 311,055 × 311,055
  4. Step 4: Simplify right side
    203,914x = 96,755,213,025
  5. Step 5: Solve for x
    x = 96,755,213,025/203,914
  6. Step 6: Final answer
    x = 474,490.29

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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.