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Finding the Third Proportional to 74.44 and 108.03

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Solution

The third proportional to 74.44 and 108.03 is: 156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 108.03 = 108.03 : x
  2. Step 2: Convert to fraction form
    74.44/108.03 = 108.03/x
  3. Step 3: Cross multiply
    74.44x = 108.03 × 108.03
  4. Step 4: Simplify right side
    74.44x = 11,670.75
  5. Step 5: Solve for x
    x = 11,670.75/74.44
  6. Step 6: Final answer
    x = 156.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.