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Finding the Third Proportional to 133.75 and 280.25

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Solution

The third proportional to 133.75 and 280.25 is: 587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.75 : 280.25 = 280.25 : x
  2. Step 2: Convert to fraction form
    133.75/280.25 = 280.25/x
  3. Step 3: Cross multiply
    133.75x = 280.25 × 280.25
  4. Step 4: Simplify right side
    133.75x = 78,540.06
  5. Step 5: Solve for x
    x = 78,540.06/133.75
  6. Step 6: Final answer
    x = 587.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.