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Finding the Third Proportional to 109.75 and 171.06

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Solution

The third proportional to 109.75 and 171.06 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 171.06 = 171.06 : x
  2. Step 2: Convert to fraction form
    109.75/171.06 = 171.06/x
  3. Step 3: Cross multiply
    109.75x = 171.06 × 171.06
  4. Step 4: Simplify right side
    109.75x = 29,262.38
  5. Step 5: Solve for x
    x = 29,262.38/109.75
  6. Step 6: Final answer
    x = 266.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.