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Finding the Third Proportional to 82.50 and 125.44

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Solution

The third proportional to 82.50 and 125.44 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 125.44 = 125.44 : x
  2. Step 2: Convert to fraction form
    82.50/125.44 = 125.44/x
  3. Step 3: Cross multiply
    82.50x = 125.44 × 125.44
  4. Step 4: Simplify right side
    82.50x = 15,734.57
  5. Step 5: Solve for x
    x = 15,734.57/82.50
  6. Step 6: Final answer
    x = 190.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.