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Finding the Third Proportional to 548,439 and 1,222,911

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Solution

The third proportional to 548,439 and 1,222,911 is: 2,726,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,439 : 1,222,911 = 1,222,911 : x
  2. Step 2: Convert to fraction form
    548,439/1,222,911 = 1,222,911/x
  3. Step 3: Cross multiply
    548,439x = 1,222,911 × 1,222,911
  4. Step 4: Simplify right side
    548,439x = 1,495,511,313,921
  5. Step 5: Solve for x
    x = 1,495,511,313,921/548,439
  6. Step 6: Final answer
    x = 2,726,850.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.