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Finding the Third Proportional to 122.55 and 250.80

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Solution

The third proportional to 122.55 and 250.80 is: 513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.55 : 250.80 = 250.80 : x
  2. Step 2: Convert to fraction form
    122.55/250.80 = 250.80/x
  3. Step 3: Cross multiply
    122.55x = 250.80 × 250.80
  4. Step 4: Simplify right side
    122.55x = 62,902.99
  5. Step 5: Solve for x
    x = 62,902.99/122.55
  6. Step 6: Final answer
    x = 513.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.