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Finding the Third Proportional to 49.75 and 109.08

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Solution

The third proportional to 49.75 and 109.08 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 109.08 = 109.08 : x
  2. Step 2: Convert to fraction form
    49.75/109.08 = 109.08/x
  3. Step 3: Cross multiply
    49.75x = 109.08 × 109.08
  4. Step 4: Simplify right side
    49.75x = 11,898.68
  5. Step 5: Solve for x
    x = 11,898.68/49.75
  6. Step 6: Final answer
    x = 239.15

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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.