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Finding the Third Proportional to 481.08 and 764.79

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Solution

The third proportional to 481.08 and 764.79 is: 1,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.08 : 764.79 = 764.79 : x
  2. Step 2: Convert to fraction form
    481.08/764.79 = 764.79/x
  3. Step 3: Cross multiply
    481.08x = 764.79 × 764.79
  4. Step 4: Simplify right side
    481.08x = 584,902.31
  5. Step 5: Solve for x
    x = 584,902.31/481.08
  6. Step 6: Final answer
    x = 1,215.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.