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Finding the Third Proportional to 381,278 and 821,651

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Solution

The third proportional to 381,278 and 821,651 is: 1,770,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,278 : 821,651 = 821,651 : x
  2. Step 2: Convert to fraction form
    381,278/821,651 = 821,651/x
  3. Step 3: Cross multiply
    381,278x = 821,651 × 821,651
  4. Step 4: Simplify right side
    381,278x = 675,110,365,801
  5. Step 5: Solve for x
    x = 675,110,365,801/381,278
  6. Step 6: Final answer
    x = 1,770,651.25

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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.