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Finding the Third Proportional to 311,067 and 440,082

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Solution

The third proportional to 311,067 and 440,082 is: 622,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 440,082 = 440,082 : x
  2. Step 2: Convert to fraction form
    311,067/440,082 = 440,082/x
  3. Step 3: Cross multiply
    311,067x = 440,082 × 440,082
  4. Step 4: Simplify right side
    311,067x = 193,672,166,724
  5. Step 5: Solve for x
    x = 193,672,166,724/311,067
  6. Step 6: Final answer
    x = 622,605.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.