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Finding the Third Proportional to 378,126 and 567,189

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Solution

The third proportional to 378,126 and 567,189 is: 850,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,126 : 567,189 = 567,189 : x
  2. Step 2: Convert to fraction form
    378,126/567,189 = 567,189/x
  3. Step 3: Cross multiply
    378,126x = 567,189 × 567,189
  4. Step 4: Simplify right side
    378,126x = 321,703,361,721
  5. Step 5: Solve for x
    x = 321,703,361,721/378,126
  6. Step 6: Final answer
    x = 850,783.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.