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Finding the Third Proportional to 380,640 and 826,872

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Solution

The third proportional to 380,640 and 826,872 is: 1,796,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640 : 826,872 = 826,872 : x
  2. Step 2: Convert to fraction form
    380,640/826,872 = 826,872/x
  3. Step 3: Cross multiply
    380,640x = 826,872 × 826,872
  4. Step 4: Simplify right side
    380,640x = 683,717,304,384
  5. Step 5: Solve for x
    x = 683,717,304,384/380,640
  6. Step 6: Final answer
    x = 1,796,230.83

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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.