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Finding the Third Proportional to 68.92 and 139.11

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Solution

The third proportional to 68.92 and 139.11 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 139.11 = 139.11 : x
  2. Step 2: Convert to fraction form
    68.92/139.11 = 139.11/x
  3. Step 3: Cross multiply
    68.92x = 139.11 × 139.11
  4. Step 4: Simplify right side
    68.92x = 19,352.51
  5. Step 5: Solve for x
    x = 19,352.51/68.92
  6. Step 6: Final answer
    x = 280.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.