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Finding the Third Proportional to 132.05 and 286.56

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Solution

The third proportional to 132.05 and 286.56 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 286.56 = 286.56 : x
  2. Step 2: Convert to fraction form
    132.05/286.56 = 286.56/x
  3. Step 3: Cross multiply
    132.05x = 286.56 × 286.56
  4. Step 4: Simplify right side
    132.05x = 82,115.83
  5. Step 5: Solve for x
    x = 82,115.83/132.05
  6. Step 6: Final answer
    x = 621.87

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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.