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Finding the Third Proportional to 381,542,913 and 826,471,327.50

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Solution

The third proportional to 381,542,913 and 826,471,327.50 is: 1,790,243,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,913 : 826,471,327.50 = 826,471,327.50 : x
  2. Step 2: Convert to fraction form
    381,542,913/826,471,327.50 = 826,471,327.50/x
  3. Step 3: Cross multiply
    381,542,913x = 826,471,327.50 × 826,471,327.50
  4. Step 4: Simplify right side
    381,542,913x = 683,054,855,179,612,288
  5. Step 5: Solve for x
    x = 683,054,855,179,612,288/381,542,913
  6. Step 6: Final answer
    x = 1,790,243,854.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.