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Finding the Third Proportional to 325,857 and 681,507

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Solution

The third proportional to 325,857 and 681,507 is: 1,425,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,857 : 681,507 = 681,507 : x
  2. Step 2: Convert to fraction form
    325,857/681,507 = 681,507/x
  3. Step 3: Cross multiply
    325,857x = 681,507 × 681,507
  4. Step 4: Simplify right side
    325,857x = 464,451,791,049
  5. Step 5: Solve for x
    x = 464,451,791,049/325,857
  6. Step 6: Final answer
    x = 1,425,323.96

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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.