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Finding the Third Proportional to 496.13 and 1,083.85

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Solution

The third proportional to 496.13 and 1,083.85 is: 2,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 1,083.85 = 1,083.85 : x
  2. Step 2: Convert to fraction form
    496.13/1,083.85 = 1,083.85/x
  3. Step 3: Cross multiply
    496.13x = 1,083.85 × 1,083.85
  4. Step 4: Simplify right side
    496.13x = 1,174,729.98
  5. Step 5: Solve for x
    x = 1,174,729.98/496.13
  6. Step 6: Final answer
    x = 2,367.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.