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Finding the Third Proportional to 218,353 and 331,469

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Solution

The third proportional to 218,353 and 331,469 is: 503,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,353 : 331,469 = 331,469 : x
  2. Step 2: Convert to fraction form
    218,353/331,469 = 331,469/x
  3. Step 3: Cross multiply
    218,353x = 331,469 × 331,469
  4. Step 4: Simplify right side
    218,353x = 109,871,697,961
  5. Step 5: Solve for x
    x = 109,871,697,961/218,353
  6. Step 6: Final answer
    x = 503,183.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.