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Finding the Third Proportional to 380,081 and 826,317

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Solution

The third proportional to 380,081 and 826,317 is: 1,796,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,081 : 826,317 = 826,317 : x
  2. Step 2: Convert to fraction form
    380,081/826,317 = 826,317/x
  3. Step 3: Cross multiply
    380,081x = 826,317 × 826,317
  4. Step 4: Simplify right side
    380,081x = 682,799,784,489
  5. Step 5: Solve for x
    x = 682,799,784,489/380,081
  6. Step 6: Final answer
    x = 1,796,458.61

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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.