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Finding the Third Proportional to 202,385 and 445,519

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Solution

The third proportional to 202,385 and 445,519 is: 980,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385 : 445,519 = 445,519 : x
  2. Step 2: Convert to fraction form
    202,385/445,519 = 445,519/x
  3. Step 3: Cross multiply
    202,385x = 445,519 × 445,519
  4. Step 4: Simplify right side
    202,385x = 198,487,179,361
  5. Step 5: Solve for x
    x = 198,487,179,361/202,385
  6. Step 6: Final answer
    x = 980,740.57

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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.