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Finding the Third Proportional to 203,940 and 447,272

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Solution

The third proportional to 203,940 and 447,272 is: 980,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940 : 447,272 = 447,272 : x
  2. Step 2: Convert to fraction form
    203,940/447,272 = 447,272/x
  3. Step 3: Cross multiply
    203,940x = 447,272 × 447,272
  4. Step 4: Simplify right side
    203,940x = 200,052,241,984
  5. Step 5: Solve for x
    x = 200,052,241,984/203,940
  6. Step 6: Final answer
    x = 980,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.