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Finding the Third Proportional to 381,542,920.75 and 826,471,338.25

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Solution

The third proportional to 381,542,920.75 and 826,471,338.25 is: 1,790,243,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,920.75 : 826,471,338.25 = 826,471,338.25 : x
  2. Step 2: Convert to fraction form
    381,542,920.75/826,471,338.25 = 826,471,338.25/x
  3. Step 3: Cross multiply
    381,542,920.75x = 826,471,338.25 × 826,471,338.25
  4. Step 4: Simplify right side
    381,542,920.75x = 683,054,872,948,745,856
  5. Step 5: Solve for x
    x = 683,054,872,948,745,856/381,542,920.75
  6. Step 6: Final answer
    x = 1,790,243,864.59

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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.