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Finding the Third Proportional to 280.76 and 330.96

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Solution

The third proportional to 280.76 and 330.96 is: 390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 330.96 = 330.96 : x
  2. Step 2: Convert to fraction form
    280.76/330.96 = 330.96/x
  3. Step 3: Cross multiply
    280.76x = 330.96 × 330.96
  4. Step 4: Simplify right side
    280.76x = 109,535.14
  5. Step 5: Solve for x
    x = 109,535.14/280.76
  6. Step 6: Final answer
    x = 390.14

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.