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Finding the Third Proportional to 939.50 and 2,253.25

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Solution

The third proportional to 939.50 and 2,253.25 is: 5,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.50 : 2,253.25 = 2,253.25 : x
  2. Step 2: Convert to fraction form
    939.50/2,253.25 = 2,253.25/x
  3. Step 3: Cross multiply
    939.50x = 2,253.25 × 2,253.25
  4. Step 4: Simplify right side
    939.50x = 5,077,135.56
  5. Step 5: Solve for x
    x = 5,077,135.56/939.50
  6. Step 6: Final answer
    x = 5,404.08

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.