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Finding the Third Proportional to 379,508 and 815,296

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Solution

The third proportional to 379,508 and 815,296 is: 1,751,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,508 : 815,296 = 815,296 : x
  2. Step 2: Convert to fraction form
    379,508/815,296 = 815,296/x
  3. Step 3: Cross multiply
    379,508x = 815,296 × 815,296
  4. Step 4: Simplify right side
    379,508x = 664,707,567,616
  5. Step 5: Solve for x
    x = 664,707,567,616/379,508
  6. Step 6: Final answer
    x = 1,751,498.17

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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.