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Finding the Third Proportional to 203,666 and 447,451

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Solution

The third proportional to 203,666 and 447,451 is: 983,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,666 : 447,451 = 447,451 : x
  2. Step 2: Convert to fraction form
    203,666/447,451 = 447,451/x
  3. Step 3: Cross multiply
    203,666x = 447,451 × 447,451
  4. Step 4: Simplify right side
    203,666x = 200,212,397,401
  5. Step 5: Solve for x
    x = 200,212,397,401/203,666
  6. Step 6: Final answer
    x = 983,042.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.