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Finding the Third Proportional to 138,907 and 324,577

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Solution

The third proportional to 138,907 and 324,577 is: 758,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907 : 324,577 = 324,577 : x
  2. Step 2: Convert to fraction form
    138,907/324,577 = 324,577/x
  3. Step 3: Cross multiply
    138,907x = 324,577 × 324,577
  4. Step 4: Simplify right side
    138,907x = 105,350,228,929
  5. Step 5: Solve for x
    x = 105,350,228,929/138,907
  6. Step 6: Final answer
    x = 758,422.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.