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Finding the Third Proportional to 3,725.75 and 8,143.75

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Solution

The third proportional to 3,725.75 and 8,143.75 is: 17,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.75 : 8,143.75 = 8,143.75 : x
  2. Step 2: Convert to fraction form
    3,725.75/8,143.75 = 8,143.75/x
  3. Step 3: Cross multiply
    3,725.75x = 8,143.75 × 8,143.75
  4. Step 4: Simplify right side
    3,725.75x = 66,320,664.06
  5. Step 5: Solve for x
    x = 66,320,664.06/3,725.75
  6. Step 6: Final answer
    x = 17,800.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.