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Finding the Third Proportional to 2,850.75 and 4,137.19

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Solution

The third proportional to 2,850.75 and 4,137.19 is: 6,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.75 : 4,137.19 = 4,137.19 : x
  2. Step 2: Convert to fraction form
    2,850.75/4,137.19 = 4,137.19/x
  3. Step 3: Cross multiply
    2,850.75x = 4,137.19 × 4,137.19
  4. Step 4: Simplify right side
    2,850.75x = 17,116,320.41
  5. Step 5: Solve for x
    x = 17,116,320.41/2,850.75
  6. Step 6: Final answer
    x = 6,004.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.