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Finding the Third Proportional to 13.68 and 28.34

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Solution

The third proportional to 13.68 and 28.34 is: 58.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.68 : 28.34 = 28.34 : x
  2. Step 2: Convert to fraction form
    13.68/28.34 = 28.34/x
  3. Step 3: Cross multiply
    13.68x = 28.34 × 28.34
  4. Step 4: Simplify right side
    13.68x = 802.93
  5. Step 5: Solve for x
    x = 802.93/13.68
  6. Step 6: Final answer
    x = 58.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.