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Finding the Third Proportional to 138,327.75 and 305,775

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Solution

The third proportional to 138,327.75 and 305,775 is: 675,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.75 : 305,775 = 305,775 : x
  2. Step 2: Convert to fraction form
    138,327.75/305,775 = 305,775/x
  3. Step 3: Cross multiply
    138,327.75x = 305,775 × 305,775
  4. Step 4: Simplify right side
    138,327.75x = 93,498,350,625
  5. Step 5: Solve for x
    x = 93,498,350,625/138,327.75
  6. Step 6: Final answer
    x = 675,918.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.