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Finding the Third Proportional to 203,262 and 422,652.75

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Solution

The third proportional to 203,262 and 422,652.75 is: 878,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,262 : 422,652.75 = 422,652.75 : x
  2. Step 2: Convert to fraction form
    203,262/422,652.75 = 422,652.75/x
  3. Step 3: Cross multiply
    203,262x = 422,652.75 × 422,652.75
  4. Step 4: Simplify right side
    203,262x = 178,635,347,082.56
  5. Step 5: Solve for x
    x = 178,635,347,082.56/203,262
  6. Step 6: Final answer
    x = 878,842.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.