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Finding the Third Proportional to 325,991 and 687,378

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Solution

The third proportional to 325,991 and 687,378 is: 1,449,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,991 : 687,378 = 687,378 : x
  2. Step 2: Convert to fraction form
    325,991/687,378 = 687,378/x
  3. Step 3: Cross multiply
    325,991x = 687,378 × 687,378
  4. Step 4: Simplify right side
    325,991x = 472,488,514,884
  5. Step 5: Solve for x
    x = 472,488,514,884/325,991
  6. Step 6: Final answer
    x = 1,449,391.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.