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Finding the Third Proportional to 493.45 and 764.09

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Solution

The third proportional to 493.45 and 764.09 is: 1,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.45 : 764.09 = 764.09 : x
  2. Step 2: Convert to fraction form
    493.45/764.09 = 764.09/x
  3. Step 3: Cross multiply
    493.45x = 764.09 × 764.09
  4. Step 4: Simplify right side
    493.45x = 583,827.32
  5. Step 5: Solve for x
    x = 583,827.32/493.45
  6. Step 6: Final answer
    x = 1,183.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.