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Finding the Third Proportional to 257 and 268

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Solution

The third proportional to 257 and 268 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 268 = 268 : x
  2. Step 2: Convert to fraction form
    257/268 = 268/x
  3. Step 3: Cross multiply
    257x = 268 × 268
  4. Step 4: Simplify right side
    257x = 71,824
  5. Step 5: Solve for x
    x = 71,824/257
  6. Step 6: Final answer
    x = 279.47

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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.