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Finding the Third Proportional to 307,758 and 694,539

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Solution

The third proportional to 307,758 and 694,539 is: 1,567,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,758 : 694,539 = 694,539 : x
  2. Step 2: Convert to fraction form
    307,758/694,539 = 694,539/x
  3. Step 3: Cross multiply
    307,758x = 694,539 × 694,539
  4. Step 4: Simplify right side
    307,758x = 482,384,422,521
  5. Step 5: Solve for x
    x = 482,384,422,521/307,758
  6. Step 6: Final answer
    x = 1,567,414.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.