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Finding the Third Proportional to 481.45 and 727.69

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Solution

The third proportional to 481.45 and 727.69 is: 1,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.45 : 727.69 = 727.69 : x
  2. Step 2: Convert to fraction form
    481.45/727.69 = 727.69/x
  3. Step 3: Cross multiply
    481.45x = 727.69 × 727.69
  4. Step 4: Simplify right side
    481.45x = 529,529.10
  5. Step 5: Solve for x
    x = 529,529.10/481.45
  6. Step 6: Final answer
    x = 1,099.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.