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Finding the Third Proportional to 122.45 and 270.37

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Solution

The third proportional to 122.45 and 270.37 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 270.37 = 270.37 : x
  2. Step 2: Convert to fraction form
    122.45/270.37 = 270.37/x
  3. Step 3: Cross multiply
    122.45x = 270.37 × 270.37
  4. Step 4: Simplify right side
    122.45x = 73,099.47
  5. Step 5: Solve for x
    x = 73,099.47/122.45
  6. Step 6: Final answer
    x = 596.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.