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Finding the Third Proportional to 325,859 and 681,512

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Solution

The third proportional to 325,859 and 681,512 is: 1,425,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,859 : 681,512 = 681,512 : x
  2. Step 2: Convert to fraction form
    325,859/681,512 = 681,512/x
  3. Step 3: Cross multiply
    325,859x = 681,512 × 681,512
  4. Step 4: Simplify right side
    325,859x = 464,458,606,144
  5. Step 5: Solve for x
    x = 464,458,606,144/325,859
  6. Step 6: Final answer
    x = 1,425,336.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.