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Finding the Third Proportional to 107.38 and 161.88

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Solution

The third proportional to 107.38 and 161.88 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 161.88 = 161.88 : x
  2. Step 2: Convert to fraction form
    107.38/161.88 = 161.88/x
  3. Step 3: Cross multiply
    107.38x = 161.88 × 161.88
  4. Step 4: Simplify right side
    107.38x = 26,203.52
  5. Step 5: Solve for x
    x = 26,203.52/107.38
  6. Step 6: Final answer
    x = 244.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.