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Finding the Third Proportional to 74.44 and 104.81

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Solution

The third proportional to 74.44 and 104.81 is: 147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 104.81 = 104.81 : x
  2. Step 2: Convert to fraction form
    74.44/104.81 = 104.81/x
  3. Step 3: Cross multiply
    74.44x = 104.81 × 104.81
  4. Step 4: Simplify right side
    74.44x = 10,985.66
  5. Step 5: Solve for x
    x = 10,985.66/74.44
  6. Step 6: Final answer
    x = 147.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.