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Finding the Third Proportional to 257.75 and 278.75

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Solution

The third proportional to 257.75 and 278.75 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 278.75 = 278.75 : x
  2. Step 2: Convert to fraction form
    257.75/278.75 = 278.75/x
  3. Step 3: Cross multiply
    257.75x = 278.75 × 278.75
  4. Step 4: Simplify right side
    257.75x = 77,701.56
  5. Step 5: Solve for x
    x = 77,701.56/257.75
  6. Step 6: Final answer
    x = 301.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.