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Finding the Third Proportional to 200,566 and 440,493

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Solution

The third proportional to 200,566 and 440,493 is: 967,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,566 : 440,493 = 440,493 : x
  2. Step 2: Convert to fraction form
    200,566/440,493 = 440,493/x
  3. Step 3: Cross multiply
    200,566x = 440,493 × 440,493
  4. Step 4: Simplify right side
    200,566x = 194,034,083,049
  5. Step 5: Solve for x
    x = 194,034,083,049/200,566
  6. Step 6: Final answer
    x = 967,432.58

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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.