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Finding the Third Proportional to 48.80 and 107.30

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Solution

The third proportional to 48.80 and 107.30 is: 235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.80 : 107.30 = 107.30 : x
  2. Step 2: Convert to fraction form
    48.80/107.30 = 107.30/x
  3. Step 3: Cross multiply
    48.80x = 107.30 × 107.30
  4. Step 4: Simplify right side
    48.80x = 11,512.62
  5. Step 5: Solve for x
    x = 11,512.62/48.80
  6. Step 6: Final answer
    x = 235.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.