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Finding the Third Proportional to 70.56 and 108.66

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Solution

The third proportional to 70.56 and 108.66 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 108.66 = 108.66 : x
  2. Step 2: Convert to fraction form
    70.56/108.66 = 108.66/x
  3. Step 3: Cross multiply
    70.56x = 108.66 × 108.66
  4. Step 4: Simplify right side
    70.56x = 11,806.18
  5. Step 5: Solve for x
    x = 11,806.18/70.56
  6. Step 6: Final answer
    x = 167.32

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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.