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Finding the Third Proportional to 618,198 and 1,318,048

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Solution

The third proportional to 618,198 and 1,318,048 is: 2,810,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,198 : 1,318,048 = 1,318,048 : x
  2. Step 2: Convert to fraction form
    618,198/1,318,048 = 1,318,048/x
  3. Step 3: Cross multiply
    618,198x = 1,318,048 × 1,318,048
  4. Step 4: Simplify right side
    618,198x = 1,737,250,530,304
  5. Step 5: Solve for x
    x = 1,737,250,530,304/618,198
  6. Step 6: Final answer
    x = 2,810,184.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.