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Finding the Third Proportional to 177,198 and 378,983

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Solution

The third proportional to 177,198 and 378,983 is: 810,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,198 : 378,983 = 378,983 : x
  2. Step 2: Convert to fraction form
    177,198/378,983 = 378,983/x
  3. Step 3: Cross multiply
    177,198x = 378,983 × 378,983
  4. Step 4: Simplify right side
    177,198x = 143,628,114,289
  5. Step 5: Solve for x
    x = 143,628,114,289/177,198
  6. Step 6: Final answer
    x = 810,551.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.