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Finding the Third Proportional to 201,247 and 426,449

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Solution

The third proportional to 201,247 and 426,449 is: 903,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,247 : 426,449 = 426,449 : x
  2. Step 2: Convert to fraction form
    201,247/426,449 = 426,449/x
  3. Step 3: Cross multiply
    201,247x = 426,449 × 426,449
  4. Step 4: Simplify right side
    201,247x = 181,858,749,601
  5. Step 5: Solve for x
    x = 181,858,749,601/201,247
  6. Step 6: Final answer
    x = 903,659.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.