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Finding the Third Proportional to 393,474 and 844,296

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Solution

The third proportional to 393,474 and 844,296 is: 1,811,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,474 : 844,296 = 844,296 : x
  2. Step 2: Convert to fraction form
    393,474/844,296 = 844,296/x
  3. Step 3: Cross multiply
    393,474x = 844,296 × 844,296
  4. Step 4: Simplify right side
    393,474x = 712,835,735,616
  5. Step 5: Solve for x
    x = 712,835,735,616/393,474
  6. Step 6: Final answer
    x = 1,811,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.