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Finding the Third Proportional to 939.73 and 1,381.11

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Solution

The third proportional to 939.73 and 1,381.11 is: 2,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.73 : 1,381.11 = 1,381.11 : x
  2. Step 2: Convert to fraction form
    939.73/1,381.11 = 1,381.11/x
  3. Step 3: Cross multiply
    939.73x = 1,381.11 × 1,381.11
  4. Step 4: Simplify right side
    939.73x = 1,907,473.90
  5. Step 5: Solve for x
    x = 1,907,473.90/939.73
  6. Step 6: Final answer
    x = 2,029.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.