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Finding the Third Proportional to 278,083,046.25 and 378,701,643

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Solution

The third proportional to 278,083,046.25 and 378,701,643 is: 515,726,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,046.25 : 378,701,643 = 378,701,643 : x
  2. Step 2: Convert to fraction form
    278,083,046.25/378,701,643 = 378,701,643/x
  3. Step 3: Cross multiply
    278,083,046.25x = 378,701,643 × 378,701,643
  4. Step 4: Simplify right side
    278,083,046.25x = 143,414,934,410,899,456
  5. Step 5: Solve for x
    x = 143,414,934,410,899,456/278,083,046.25
  6. Step 6: Final answer
    x = 515,726,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.