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Finding the Third Proportional to 311,067 and 669,945

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Solution

The third proportional to 311,067 and 669,945 is: 1,442,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 669,945 = 669,945 : x
  2. Step 2: Convert to fraction form
    311,067/669,945 = 669,945/x
  3. Step 3: Cross multiply
    311,067x = 669,945 × 669,945
  4. Step 4: Simplify right side
    311,067x = 448,826,303,025
  5. Step 5: Solve for x
    x = 448,826,303,025/311,067
  6. Step 6: Final answer
    x = 1,442,860.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.