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Finding the Third Proportional to 132.25 and 286.75

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Solution

The third proportional to 132.25 and 286.75 is: 621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 286.75 = 286.75 : x
  2. Step 2: Convert to fraction form
    132.25/286.75 = 286.75/x
  3. Step 3: Cross multiply
    132.25x = 286.75 × 286.75
  4. Step 4: Simplify right side
    132.25x = 82,225.56
  5. Step 5: Solve for x
    x = 82,225.56/132.25
  6. Step 6: Final answer
    x = 621.74

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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.