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Finding the Third Proportional to 218,529 and 445,077

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Solution

The third proportional to 218,529 and 445,077 is: 906,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,529 : 445,077 = 445,077 : x
  2. Step 2: Convert to fraction form
    218,529/445,077 = 445,077/x
  3. Step 3: Cross multiply
    218,529x = 445,077 × 445,077
  4. Step 4: Simplify right side
    218,529x = 198,093,535,929
  5. Step 5: Solve for x
    x = 198,093,535,929/218,529
  6. Step 6: Final answer
    x = 906,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.