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Finding the Third Proportional to 132,255.56 and 204,339.38

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Solution

The third proportional to 132,255.56 and 204,339.38 is: 315,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,255.56 : 204,339.38 = 204,339.38 : x
  2. Step 2: Convert to fraction form
    132,255.56/204,339.38 = 204,339.38/x
  3. Step 3: Cross multiply
    132,255.56x = 204,339.38 × 204,339.38
  4. Step 4: Simplify right side
    132,255.56x = 41,754,580,175.39
  5. Step 5: Solve for x
    x = 41,754,580,175.39/132,255.56
  6. Step 6: Final answer
    x = 315,711.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.