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Finding the Third Proportional to 74.06 and 108.44

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Solution

The third proportional to 74.06 and 108.44 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 108.44 = 108.44 : x
  2. Step 2: Convert to fraction form
    74.06/108.44 = 108.44/x
  3. Step 3: Cross multiply
    74.06x = 108.44 × 108.44
  4. Step 4: Simplify right side
    74.06x = 11,758.69
  5. Step 5: Solve for x
    x = 11,758.69/74.06
  6. Step 6: Final answer
    x = 158.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.