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Finding the Third Proportional to 133.03 and 280.41

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Solution

The third proportional to 133.03 and 280.41 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 280.41 = 280.41 : x
  2. Step 2: Convert to fraction form
    133.03/280.41 = 280.41/x
  3. Step 3: Cross multiply
    133.03x = 280.41 × 280.41
  4. Step 4: Simplify right side
    133.03x = 78,627.67
  5. Step 5: Solve for x
    x = 78,627.67/133.03
  6. Step 6: Final answer
    x = 591.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.