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Finding the Third Proportional to 202,379 and 445,507

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Solution

The third proportional to 202,379 and 445,507 is: 980,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,379 : 445,507 = 445,507 : x
  2. Step 2: Convert to fraction form
    202,379/445,507 = 445,507/x
  3. Step 3: Cross multiply
    202,379x = 445,507 × 445,507
  4. Step 4: Simplify right side
    202,379x = 198,476,487,049
  5. Step 5: Solve for x
    x = 198,476,487,049/202,379
  6. Step 6: Final answer
    x = 980,716.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.