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Finding the Third Proportional to 233.88 and 280.75

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Solution

The third proportional to 233.88 and 280.75 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 280.75 = 280.75 : x
  2. Step 2: Convert to fraction form
    233.88/280.75 = 280.75/x
  3. Step 3: Cross multiply
    233.88x = 280.75 × 280.75
  4. Step 4: Simplify right side
    233.88x = 78,820.56
  5. Step 5: Solve for x
    x = 78,820.56/233.88
  6. Step 6: Final answer
    x = 337.02

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.