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Finding the Third Proportional to 172.25 and 269.75

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Solution

The third proportional to 172.25 and 269.75 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 269.75 = 269.75 : x
  2. Step 2: Convert to fraction form
    172.25/269.75 = 269.75/x
  3. Step 3: Cross multiply
    172.25x = 269.75 × 269.75
  4. Step 4: Simplify right side
    172.25x = 72,765.06
  5. Step 5: Solve for x
    x = 72,765.06/172.25
  6. Step 6: Final answer
    x = 422.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.