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Finding the Third Proportional to 74.06 and 111.19

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Solution

The third proportional to 74.06 and 111.19 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 111.19 = 111.19 : x
  2. Step 2: Convert to fraction form
    74.06/111.19 = 111.19/x
  3. Step 3: Cross multiply
    74.06x = 111.19 × 111.19
  4. Step 4: Simplify right side
    74.06x = 12,362.66
  5. Step 5: Solve for x
    x = 12,362.66/74.06
  6. Step 6: Final answer
    x = 166.92

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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.