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Finding the Third Proportional to 604,401 and 821,325

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Solution

The third proportional to 604,401 and 821,325 is: 1,116,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,401 : 821,325 = 821,325 : x
  2. Step 2: Convert to fraction form
    604,401/821,325 = 821,325/x
  3. Step 3: Cross multiply
    604,401x = 821,325 × 821,325
  4. Step 4: Simplify right side
    604,401x = 674,574,755,625
  5. Step 5: Solve for x
    x = 674,574,755,625/604,401
  6. Step 6: Final answer
    x = 1,116,104.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.