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Finding the Third Proportional to 325,405 and 666,667

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Solution

The third proportional to 325,405 and 666,667 is: 1,365,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,405 : 666,667 = 666,667 : x
  2. Step 2: Convert to fraction form
    325,405/666,667 = 666,667/x
  3. Step 3: Cross multiply
    325,405x = 666,667 × 666,667
  4. Step 4: Simplify right side
    325,405x = 444,444,888,889
  5. Step 5: Solve for x
    x = 444,444,888,889/325,405
  6. Step 6: Final answer
    x = 1,365,820.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.