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Finding the Third Proportional to 252,651.50 and 378,976.75

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Solution

The third proportional to 252,651.50 and 378,976.75 is: 568,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,651.50 : 378,976.75 = 378,976.75 : x
  2. Step 2: Convert to fraction form
    252,651.50/378,976.75 = 378,976.75/x
  3. Step 3: Cross multiply
    252,651.50x = 378,976.75 × 378,976.75
  4. Step 4: Simplify right side
    252,651.50x = 143,623,377,040.56
  5. Step 5: Solve for x
    x = 143,623,377,040.56/252,651.50
  6. Step 6: Final answer
    x = 568,464.38

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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.