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Finding the Third Proportional to 203,932 and 420,975

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Solution

The third proportional to 203,932 and 420,975 is: 869,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,932 : 420,975 = 420,975 : x
  2. Step 2: Convert to fraction form
    203,932/420,975 = 420,975/x
  3. Step 3: Cross multiply
    203,932x = 420,975 × 420,975
  4. Step 4: Simplify right side
    203,932x = 177,219,950,625
  5. Step 5: Solve for x
    x = 177,219,950,625/203,932
  6. Step 6: Final answer
    x = 869,014.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.