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Finding the Third Proportional to 88,131.38 and 193,758.75

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Solution

The third proportional to 88,131.38 and 193,758.75 is: 425,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,131.38 : 193,758.75 = 193,758.75 : x
  2. Step 2: Convert to fraction form
    88,131.38/193,758.75 = 193,758.75/x
  3. Step 3: Cross multiply
    88,131.38x = 193,758.75 × 193,758.75
  4. Step 4: Simplify right side
    88,131.38x = 37,542,453,201.56
  5. Step 5: Solve for x
    x = 37,542,453,201.56/88,131.38
  6. Step 6: Final answer
    x = 425,982.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.