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Finding the Third Proportional to 242.44 and 280.69

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Solution

The third proportional to 242.44 and 280.69 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 280.69 = 280.69 : x
  2. Step 2: Convert to fraction form
    242.44/280.69 = 280.69/x
  3. Step 3: Cross multiply
    242.44x = 280.69 × 280.69
  4. Step 4: Simplify right side
    242.44x = 78,785.47
  5. Step 5: Solve for x
    x = 78,785.47/242.44
  6. Step 6: Final answer
    x = 324.97

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.