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Finding the Third Proportional to 376,847 and 821,451

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Solution

The third proportional to 376,847 and 821,451 is: 1,790,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,847 : 821,451 = 821,451 : x
  2. Step 2: Convert to fraction form
    376,847/821,451 = 821,451/x
  3. Step 3: Cross multiply
    376,847x = 821,451 × 821,451
  4. Step 4: Simplify right side
    376,847x = 674,781,745,401
  5. Step 5: Solve for x
    x = 674,781,745,401/376,847
  6. Step 6: Final answer
    x = 1,790,598.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.