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Finding the Third Proportional to 203,648 and 447,454

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Solution

The third proportional to 203,648 and 447,454 is: 983,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,648 : 447,454 = 447,454 : x
  2. Step 2: Convert to fraction form
    203,648/447,454 = 447,454/x
  3. Step 3: Cross multiply
    203,648x = 447,454 × 447,454
  4. Step 4: Simplify right side
    203,648x = 200,215,082,116
  5. Step 5: Solve for x
    x = 200,215,082,116/203,648
  6. Step 6: Final answer
    x = 983,142.88

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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.