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Finding the Third Proportional to 3,721.25 and 5,053.75

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Solution

The third proportional to 3,721.25 and 5,053.75 is: 6,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.25 : 5,053.75 = 5,053.75 : x
  2. Step 2: Convert to fraction form
    3,721.25/5,053.75 = 5,053.75/x
  3. Step 3: Cross multiply
    3,721.25x = 5,053.75 × 5,053.75
  4. Step 4: Simplify right side
    3,721.25x = 25,540,389.06
  5. Step 5: Solve for x
    x = 25,540,389.06/3,721.25
  6. Step 6: Final answer
    x = 6,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.