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Finding the Third Proportional to 278,083,062 and 378,701,667

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Solution

The third proportional to 278,083,062 and 378,701,667 is: 515,727,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,062 : 378,701,667 = 378,701,667 : x
  2. Step 2: Convert to fraction form
    278,083,062/378,701,667 = 378,701,667/x
  3. Step 3: Cross multiply
    278,083,062x = 378,701,667 × 378,701,667
  4. Step 4: Simplify right side
    278,083,062x = 143,414,952,588,578,896
  5. Step 5: Solve for x
    x = 143,414,952,588,578,896/278,083,062
  6. Step 6: Final answer
    x = 515,727,033.34

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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.