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Finding the Third Proportional to 28.20 and 68.34

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Solution

The third proportional to 28.20 and 68.34 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.20 : 68.34 = 68.34 : x
  2. Step 2: Convert to fraction form
    28.20/68.34 = 68.34/x
  3. Step 3: Cross multiply
    28.20x = 68.34 × 68.34
  4. Step 4: Simplify right side
    28.20x = 4,669.85
  5. Step 5: Solve for x
    x = 4,669.85/28.20
  6. Step 6: Final answer
    x = 165.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.