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Finding the Third Proportional to 921.75 and 2,227.69

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Solution

The third proportional to 921.75 and 2,227.69 is: 5,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.75 : 2,227.69 = 2,227.69 : x
  2. Step 2: Convert to fraction form
    921.75/2,227.69 = 2,227.69/x
  3. Step 3: Cross multiply
    921.75x = 2,227.69 × 2,227.69
  4. Step 4: Simplify right side
    921.75x = 4,962,591.60
  5. Step 5: Solve for x
    x = 4,962,591.60/921.75
  6. Step 6: Final answer
    x = 5,383.88

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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.