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Finding the Third Proportional to 378,192 and 559,812

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Solution

The third proportional to 378,192 and 559,812 is: 828,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,192 : 559,812 = 559,812 : x
  2. Step 2: Convert to fraction form
    378,192/559,812 = 559,812/x
  3. Step 3: Cross multiply
    378,192x = 559,812 × 559,812
  4. Step 4: Simplify right side
    378,192x = 313,389,475,344
  5. Step 5: Solve for x
    x = 313,389,475,344/378,192
  6. Step 6: Final answer
    x = 828,651.78

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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.