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Finding the Third Proportional to 68.13 and 74.31

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Solution

The third proportional to 68.13 and 74.31 is: 81.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 74.31 = 74.31 : x
  2. Step 2: Convert to fraction form
    68.13/74.31 = 74.31/x
  3. Step 3: Cross multiply
    68.13x = 74.31 × 74.31
  4. Step 4: Simplify right side
    68.13x = 5,522.35
  5. Step 5: Solve for x
    x = 5,522.35/68.13
  6. Step 6: Final answer
    x = 81.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.