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Finding the Third Proportional to 557.43 and 1,183.20

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Solution

The third proportional to 557.43 and 1,183.20 is: 2,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.43 : 1,183.20 = 1,183.20 : x
  2. Step 2: Convert to fraction form
    557.43/1,183.20 = 1,183.20/x
  3. Step 3: Cross multiply
    557.43x = 1,183.20 × 1,183.20
  4. Step 4: Simplify right side
    557.43x = 1,399,965.01
  5. Step 5: Solve for x
    x = 1,399,965.01/557.43
  6. Step 6: Final answer
    x = 2,511.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.