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Finding the Third Proportional to 203,609 and 447,369

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Solution

The third proportional to 203,609 and 447,369 is: 982,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,609 : 447,369 = 447,369 : x
  2. Step 2: Convert to fraction form
    203,609/447,369 = 447,369/x
  3. Step 3: Cross multiply
    203,609x = 447,369 × 447,369
  4. Step 4: Simplify right side
    203,609x = 200,139,022,161
  5. Step 5: Solve for x
    x = 200,139,022,161/203,609
  6. Step 6: Final answer
    x = 982,957.64

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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.