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Finding the Third Proportional to 74.04 and 111.27

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Solution

The third proportional to 74.04 and 111.27 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 111.27 = 111.27 : x
  2. Step 2: Convert to fraction form
    74.04/111.27 = 111.27/x
  3. Step 3: Cross multiply
    74.04x = 111.27 × 111.27
  4. Step 4: Simplify right side
    74.04x = 12,380.91
  5. Step 5: Solve for x
    x = 12,380.91/74.04
  6. Step 6: Final answer
    x = 167.22

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