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Finding the Third Proportional to 943.50 and 2,007.38

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Solution

The third proportional to 943.50 and 2,007.38 is: 4,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 2,007.38 = 2,007.38 : x
  2. Step 2: Convert to fraction form
    943.50/2,007.38 = 2,007.38/x
  3. Step 3: Cross multiply
    943.50x = 2,007.38 × 2,007.38
  4. Step 4: Simplify right side
    943.50x = 4,029,554.39
  5. Step 5: Solve for x
    x = 4,029,554.39/943.50
  6. Step 6: Final answer
    x = 4,270.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.