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Finding the Third Proportional to 203,406 and 437,424

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Solution

The third proportional to 203,406 and 437,424 is: 940,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,406 : 437,424 = 437,424 : x
  2. Step 2: Convert to fraction form
    203,406/437,424 = 437,424/x
  3. Step 3: Cross multiply
    203,406x = 437,424 × 437,424
  4. Step 4: Simplify right side
    203,406x = 191,339,755,776
  5. Step 5: Solve for x
    x = 191,339,755,776/203,406
  6. Step 6: Final answer
    x = 940,679.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.