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Finding the Third Proportional to 74.39 and 111.66

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Solution

The third proportional to 74.39 and 111.66 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 111.66 = 111.66 : x
  2. Step 2: Convert to fraction form
    74.39/111.66 = 111.66/x
  3. Step 3: Cross multiply
    74.39x = 111.66 × 111.66
  4. Step 4: Simplify right side
    74.39x = 12,467.12
  5. Step 5: Solve for x
    x = 12,467.12/74.39
  6. Step 6: Final answer
    x = 167.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.