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Finding the Third Proportional to 920.53 and 2,224.97

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Solution

The third proportional to 920.53 and 2,224.97 is: 5,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.53 : 2,224.97 = 2,224.97 : x
  2. Step 2: Convert to fraction form
    920.53/2,224.97 = 2,224.97/x
  3. Step 3: Cross multiply
    920.53x = 2,224.97 × 2,224.97
  4. Step 4: Simplify right side
    920.53x = 4,950,485.94
  5. Step 5: Solve for x
    x = 4,950,485.94/920.53
  6. Step 6: Final answer
    x = 5,377.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.