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Finding the Third Proportional to 189,198 and 388,233

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Solution

The third proportional to 189,198 and 388,233 is: 796,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,198 : 388,233 = 388,233 : x
  2. Step 2: Convert to fraction form
    189,198/388,233 = 388,233/x
  3. Step 3: Cross multiply
    189,198x = 388,233 × 388,233
  4. Step 4: Simplify right side
    189,198x = 150,724,862,289
  5. Step 5: Solve for x
    x = 150,724,862,289/189,198
  6. Step 6: Final answer
    x = 796,651.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.