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Finding the Third Proportional to 280 and 296

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Solution

The third proportional to 280 and 296 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 296 = 296 : x
  2. Step 2: Convert to fraction form
    280/296 = 296/x
  3. Step 3: Cross multiply
    280x = 296 × 296
  4. Step 4: Simplify right side
    280x = 87,616
  5. Step 5: Solve for x
    x = 87,616/280
  6. Step 6: Final answer
    x = 312.91

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.