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Finding the Third Proportional to 68.13 and 105.28

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Solution

The third proportional to 68.13 and 105.28 is: 162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 105.28 = 105.28 : x
  2. Step 2: Convert to fraction form
    68.13/105.28 = 105.28/x
  3. Step 3: Cross multiply
    68.13x = 105.28 × 105.28
  4. Step 4: Simplify right side
    68.13x = 11,084.14
  5. Step 5: Solve for x
    x = 11,084.14/68.13
  6. Step 6: Final answer
    x = 162.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.