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Finding the Third Proportional to 381,276 and 821,647

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Solution

The third proportional to 381,276 and 821,647 is: 1,770,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,276 : 821,647 = 821,647 : x
  2. Step 2: Convert to fraction form
    381,276/821,647 = 821,647/x
  3. Step 3: Cross multiply
    381,276x = 821,647 × 821,647
  4. Step 4: Simplify right side
    381,276x = 675,103,792,609
  5. Step 5: Solve for x
    x = 675,103,792,609/381,276
  6. Step 6: Final answer
    x = 1,770,643.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.