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Finding the Third Proportional to 254.71 and 276.86

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Solution

The third proportional to 254.71 and 276.86 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 276.86 = 276.86 : x
  2. Step 2: Convert to fraction form
    254.71/276.86 = 276.86/x
  3. Step 3: Cross multiply
    254.71x = 276.86 × 276.86
  4. Step 4: Simplify right side
    254.71x = 76,648.95
  5. Step 5: Solve for x
    x = 76,648.95/254.71
  6. Step 6: Final answer
    x = 300.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.