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Finding the Third Proportional to 381,636 and 821,228

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Solution

The third proportional to 381,636 and 821,228 is: 1,767,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,636 : 821,228 = 821,228 : x
  2. Step 2: Convert to fraction form
    381,636/821,228 = 821,228/x
  3. Step 3: Cross multiply
    381,636x = 821,228 × 821,228
  4. Step 4: Simplify right side
    381,636x = 674,415,427,984
  5. Step 5: Solve for x
    x = 674,415,427,984/381,636
  6. Step 6: Final answer
    x = 1,767,169.31

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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.