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Finding the Third Proportional to 412,810 and 550,474

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Solution

The third proportional to 412,810 and 550,474 is: 734,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,810 : 550,474 = 550,474 : x
  2. Step 2: Convert to fraction form
    412,810/550,474 = 550,474/x
  3. Step 3: Cross multiply
    412,810x = 550,474 × 550,474
  4. Step 4: Simplify right side
    412,810x = 303,021,624,676
  5. Step 5: Solve for x
    x = 303,021,624,676/412,810
  6. Step 6: Final answer
    x = 734,046.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.