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Finding the Third Proportional to 2,183.25 and 3,490.13

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Solution

The third proportional to 2,183.25 and 3,490.13 is: 5,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.25 : 3,490.13 = 3,490.13 : x
  2. Step 2: Convert to fraction form
    2,183.25/3,490.13 = 3,490.13/x
  3. Step 3: Cross multiply
    2,183.25x = 3,490.13 × 3,490.13
  4. Step 4: Simplify right side
    2,183.25x = 12,180,972.52
  5. Step 5: Solve for x
    x = 12,180,972.52/2,183.25
  6. Step 6: Final answer
    x = 5,579.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.