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Finding the Third Proportional to 105.88 and 161.88

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Solution

The third proportional to 105.88 and 161.88 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 161.88 = 161.88 : x
  2. Step 2: Convert to fraction form
    105.88/161.88 = 161.88/x
  3. Step 3: Cross multiply
    105.88x = 161.88 × 161.88
  4. Step 4: Simplify right side
    105.88x = 26,203.52
  5. Step 5: Solve for x
    x = 26,203.52/105.88
  6. Step 6: Final answer
    x = 247.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.