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Finding the Third Proportional to 60.80 and 133.41

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Solution

The third proportional to 60.80 and 133.41 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.80 : 133.41 = 133.41 : x
  2. Step 2: Convert to fraction form
    60.80/133.41 = 133.41/x
  3. Step 3: Cross multiply
    60.80x = 133.41 × 133.41
  4. Step 4: Simplify right side
    60.80x = 17,797.23
  5. Step 5: Solve for x
    x = 17,797.23/60.80
  6. Step 6: Final answer
    x = 292.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.