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Finding the Third Proportional to 202,605 and 440,885

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Solution

The third proportional to 202,605 and 440,885 is: 959,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,605 : 440,885 = 440,885 : x
  2. Step 2: Convert to fraction form
    202,605/440,885 = 440,885/x
  3. Step 3: Cross multiply
    202,605x = 440,885 × 440,885
  4. Step 4: Simplify right side
    202,605x = 194,379,583,225
  5. Step 5: Solve for x
    x = 194,379,583,225/202,605
  6. Step 6: Final answer
    x = 959,401.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.