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Finding the Third Proportional to 135,921.38 and 319,796.44

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Solution

The third proportional to 135,921.38 and 319,796.44 is: 752,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,921.38 : 319,796.44 = 319,796.44 : x
  2. Step 2: Convert to fraction form
    135,921.38/319,796.44 = 319,796.44/x
  3. Step 3: Cross multiply
    135,921.38x = 319,796.44 × 319,796.44
  4. Step 4: Simplify right side
    135,921.38x = 102,269,761,437.69
  5. Step 5: Solve for x
    x = 102,269,761,437.69/135,921.38
  6. Step 6: Final answer
    x = 752,418.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.