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Finding the Third Proportional to 68.92 and 128.09

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Solution

The third proportional to 68.92 and 128.09 is: 238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 128.09 = 128.09 : x
  2. Step 2: Convert to fraction form
    68.92/128.09 = 128.09/x
  3. Step 3: Cross multiply
    68.92x = 128.09 × 128.09
  4. Step 4: Simplify right side
    68.92x = 16,408.01
  5. Step 5: Solve for x
    x = 16,408.01/68.92
  6. Step 6: Final answer
    x = 238.07

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.