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Finding the Third Proportional to 221,989 and 481,401

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Solution

The third proportional to 221,989 and 481,401 is: 1,043,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,989 : 481,401 = 481,401 : x
  2. Step 2: Convert to fraction form
    221,989/481,401 = 481,401/x
  3. Step 3: Cross multiply
    221,989x = 481,401 × 481,401
  4. Step 4: Simplify right side
    221,989x = 231,746,922,801
  5. Step 5: Solve for x
    x = 231,746,922,801/221,989
  6. Step 6: Final answer
    x = 1,043,956.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.