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Finding the Third Proportional to 378,198 and 559,821

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Solution

The third proportional to 378,198 and 559,821 is: 828,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,198 : 559,821 = 559,821 : x
  2. Step 2: Convert to fraction form
    378,198/559,821 = 559,821/x
  3. Step 3: Cross multiply
    378,198x = 559,821 × 559,821
  4. Step 4: Simplify right side
    378,198x = 313,399,552,041
  5. Step 5: Solve for x
    x = 313,399,552,041/378,198
  6. Step 6: Final answer
    x = 828,665.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.