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Finding the Third Proportional to 108.09 and 171.47

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Solution

The third proportional to 108.09 and 171.47 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 171.47 = 171.47 : x
  2. Step 2: Convert to fraction form
    108.09/171.47 = 171.47/x
  3. Step 3: Cross multiply
    108.09x = 171.47 × 171.47
  4. Step 4: Simplify right side
    108.09x = 29,401.53
  5. Step 5: Solve for x
    x = 29,401.53/108.09
  6. Step 6: Final answer
    x = 272.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.