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Finding the Third Proportional to 203,678 and 447,478

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Solution

The third proportional to 203,678 and 447,478 is: 983,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,678 : 447,478 = 447,478 : x
  2. Step 2: Convert to fraction form
    203,678/447,478 = 447,478/x
  3. Step 3: Cross multiply
    203,678x = 447,478 × 447,478
  4. Step 4: Simplify right side
    203,678x = 200,236,560,484
  5. Step 5: Solve for x
    x = 200,236,560,484/203,678
  6. Step 6: Final answer
    x = 983,103.53

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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.