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Finding the Third Proportional to 254.87 and 311.82

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Solution

The third proportional to 254.87 and 311.82 is: 381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 311.82 = 311.82 : x
  2. Step 2: Convert to fraction form
    254.87/311.82 = 311.82/x
  3. Step 3: Cross multiply
    254.87x = 311.82 × 311.82
  4. Step 4: Simplify right side
    254.87x = 97,230.69
  5. Step 5: Solve for x
    x = 97,230.69/254.87
  6. Step 6: Final answer
    x = 381.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.