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Finding the Third Proportional to 108.21 and 169.91

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Solution

The third proportional to 108.21 and 169.91 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 169.91 = 169.91 : x
  2. Step 2: Convert to fraction form
    108.21/169.91 = 169.91/x
  3. Step 3: Cross multiply
    108.21x = 169.91 × 169.91
  4. Step 4: Simplify right side
    108.21x = 28,869.46
  5. Step 5: Solve for x
    x = 28,869.46/108.21
  6. Step 6: Final answer
    x = 266.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.