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Finding the Third Proportional to 135,831 and 215,034.75

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Solution

The third proportional to 135,831 and 215,034.75 is: 340,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,831 : 215,034.75 = 215,034.75 : x
  2. Step 2: Convert to fraction form
    135,831/215,034.75 = 215,034.75/x
  3. Step 3: Cross multiply
    135,831x = 215,034.75 × 215,034.75
  4. Step 4: Simplify right side
    135,831x = 46,239,943,707.56
  5. Step 5: Solve for x
    x = 46,239,943,707.56/135,831
  6. Step 6: Final answer
    x = 340,422.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.