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Finding the Third Proportional to 1,183.78 and 2,489.91

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Solution

The third proportional to 1,183.78 and 2,489.91 is: 5,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.78 : 2,489.91 = 2,489.91 : x
  2. Step 2: Convert to fraction form
    1,183.78/2,489.91 = 2,489.91/x
  3. Step 3: Cross multiply
    1,183.78x = 2,489.91 × 2,489.91
  4. Step 4: Simplify right side
    1,183.78x = 6,199,633.13
  5. Step 5: Solve for x
    x = 6,199,633.13/1,183.78
  6. Step 6: Final answer
    x = 5,237.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.