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Finding the Third Proportional to 378,746 and 821,872

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Solution

The third proportional to 378,746 and 821,872 is: 1,783,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,746 : 821,872 = 821,872 : x
  2. Step 2: Convert to fraction form
    378,746/821,872 = 821,872/x
  3. Step 3: Cross multiply
    378,746x = 821,872 × 821,872
  4. Step 4: Simplify right side
    378,746x = 675,473,584,384
  5. Step 5: Solve for x
    x = 675,473,584,384/378,746
  6. Step 6: Final answer
    x = 1,783,447.44

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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.