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Finding the Third Proportional to 382,978 and 818,084

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Solution

The third proportional to 382,978 and 818,084 is: 1,747,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,978 : 818,084 = 818,084 : x
  2. Step 2: Convert to fraction form
    382,978/818,084 = 818,084/x
  3. Step 3: Cross multiply
    382,978x = 818,084 × 818,084
  4. Step 4: Simplify right side
    382,978x = 669,261,431,056
  5. Step 5: Solve for x
    x = 669,261,431,056/382,978
  6. Step 6: Final answer
    x = 1,747,519.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.