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Finding the Third Proportional to 132.50 and 180

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Solution

The third proportional to 132.50 and 180 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.50 : 180 = 180 : x
  2. Step 2: Convert to fraction form
    132.50/180 = 180/x
  3. Step 3: Cross multiply
    132.50x = 180 × 180
  4. Step 4: Simplify right side
    132.50x = 32,400
  5. Step 5: Solve for x
    x = 32,400/132.50
  6. Step 6: Final answer
    x = 244.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.