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Finding the Third Proportional to 133.88 and 280.88

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Solution

The third proportional to 133.88 and 280.88 is: 589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 280.88 = 280.88 : x
  2. Step 2: Convert to fraction form
    133.88/280.88 = 280.88/x
  3. Step 3: Cross multiply
    133.88x = 280.88 × 280.88
  4. Step 4: Simplify right side
    133.88x = 78,890.77
  5. Step 5: Solve for x
    x = 78,890.77/133.88
  6. Step 6: Final answer
    x = 589.29

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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.