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Finding the Third Proportional to 122.25 and 231.50

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Solution

The third proportional to 122.25 and 231.50 is: 438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 231.50 = 231.50 : x
  2. Step 2: Convert to fraction form
    122.25/231.50 = 231.50/x
  3. Step 3: Cross multiply
    122.25x = 231.50 × 231.50
  4. Step 4: Simplify right side
    122.25x = 53,592.25
  5. Step 5: Solve for x
    x = 53,592.25/122.25
  6. Step 6: Final answer
    x = 438.38

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.