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Finding the Third Proportional to 68.53 and 105.09

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Solution

The third proportional to 68.53 and 105.09 is: 161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.53 : 105.09 = 105.09 : x
  2. Step 2: Convert to fraction form
    68.53/105.09 = 105.09/x
  3. Step 3: Cross multiply
    68.53x = 105.09 × 105.09
  4. Step 4: Simplify right side
    68.53x = 11,044.70
  5. Step 5: Solve for x
    x = 11,044.70/68.53
  6. Step 6: Final answer
    x = 161.16

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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.