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Finding the Third Proportional to 122.50 and 155.25

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Solution

The third proportional to 122.50 and 155.25 is: 196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 155.25 = 155.25 : x
  2. Step 2: Convert to fraction form
    122.50/155.25 = 155.25/x
  3. Step 3: Cross multiply
    122.50x = 155.25 × 155.25
  4. Step 4: Simplify right side
    122.50x = 24,102.56
  5. Step 5: Solve for x
    x = 24,102.56/122.50
  6. Step 6: Final answer
    x = 196.76

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.