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Finding the Third Proportional to 48.50 and 80.88

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Solution

The third proportional to 48.50 and 80.88 is: 134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.50 : 80.88 = 80.88 : x
  2. Step 2: Convert to fraction form
    48.50/80.88 = 80.88/x
  3. Step 3: Cross multiply
    48.50x = 80.88 × 80.88
  4. Step 4: Simplify right side
    48.50x = 6,540.77
  5. Step 5: Solve for x
    x = 6,540.77/48.50
  6. Step 6: Final answer
    x = 134.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.