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Finding the Third Proportional to 378,456 and 567,740

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Solution

The third proportional to 378,456 and 567,740 is: 851,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,456 : 567,740 = 567,740 : x
  2. Step 2: Convert to fraction form
    378,456/567,740 = 567,740/x
  3. Step 3: Cross multiply
    378,456x = 567,740 × 567,740
  4. Step 4: Simplify right side
    378,456x = 322,328,707,600
  5. Step 5: Solve for x
    x = 322,328,707,600/378,456
  6. Step 6: Final answer
    x = 851,694.01

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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.