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Finding the Third Proportional to 119.75 and 132.50

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Solution

The third proportional to 119.75 and 132.50 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 132.50 = 132.50 : x
  2. Step 2: Convert to fraction form
    119.75/132.50 = 132.50/x
  3. Step 3: Cross multiply
    119.75x = 132.50 × 132.50
  4. Step 4: Simplify right side
    119.75x = 17,556.25
  5. Step 5: Solve for x
    x = 17,556.25/119.75
  6. Step 6: Final answer
    x = 146.61

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.