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Finding the Third Proportional to 70.22 and 108.26

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Solution

The third proportional to 70.22 and 108.26 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 108.26 = 108.26 : x
  2. Step 2: Convert to fraction form
    70.22/108.26 = 108.26/x
  3. Step 3: Cross multiply
    70.22x = 108.26 × 108.26
  4. Step 4: Simplify right side
    70.22x = 11,721.02
  5. Step 5: Solve for x
    x = 11,721.02/70.22
  6. Step 6: Final answer
    x = 166.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.