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Finding the Third Proportional to 121.88 and 280.75

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Solution

The third proportional to 121.88 and 280.75 is: 646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 280.75 = 280.75 : x
  2. Step 2: Convert to fraction form
    121.88/280.75 = 280.75/x
  3. Step 3: Cross multiply
    121.88x = 280.75 × 280.75
  4. Step 4: Simplify right side
    121.88x = 78,820.56
  5. Step 5: Solve for x
    x = 78,820.56/121.88
  6. Step 6: Final answer
    x = 646.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.