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Finding the Third Proportional to 939.73 and 2,272.43

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Solution

The third proportional to 939.73 and 2,272.43 is: 5,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.73 : 2,272.43 = 2,272.43 : x
  2. Step 2: Convert to fraction form
    939.73/2,272.43 = 2,272.43/x
  3. Step 3: Cross multiply
    939.73x = 2,272.43 × 2,272.43
  4. Step 4: Simplify right side
    939.73x = 5,163,936.68
  5. Step 5: Solve for x
    x = 5,163,936.68/939.73
  6. Step 6: Final answer
    x = 5,495.15

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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.