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Finding the Third Proportional to 132,321.38 and 286,512.75

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Solution

The third proportional to 132,321.38 and 286,512.75 is: 620,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321.38 : 286,512.75 = 286,512.75 : x
  2. Step 2: Convert to fraction form
    132,321.38/286,512.75 = 286,512.75/x
  3. Step 3: Cross multiply
    132,321.38x = 286,512.75 × 286,512.75
  4. Step 4: Simplify right side
    132,321.38x = 82,089,555,912.56
  5. Step 5: Solve for x
    x = 82,089,555,912.56/132,321.38
  6. Step 6: Final answer
    x = 620,380.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.