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Finding the Third Proportional to 381,643,508.25 and 826,659,362.81

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Solution

The third proportional to 381,643,508.25 and 826,659,362.81 is: 1,790,586,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,643,508.25 : 826,659,362.81 = 826,659,362.81 : x
  2. Step 2: Convert to fraction form
    381,643,508.25/826,659,362.81 = 826,659,362.81/x
  3. Step 3: Cross multiply
    381,643,508.25x = 826,659,362.81 × 826,659,362.81
  4. Step 4: Simplify right side
    381,643,508.25x = 683,365,702,125,568,512
  5. Step 5: Solve for x
    x = 683,365,702,125,568,512/381,643,508.25
  6. Step 6: Final answer
    x = 1,790,586,469.71

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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.