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Finding the Third Proportional to 39,201.75 and 57,879

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Solution

The third proportional to 39,201.75 and 57,879 is: 85,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201.75 : 57,879 = 57,879 : x
  2. Step 2: Convert to fraction form
    39,201.75/57,879 = 57,879/x
  3. Step 3: Cross multiply
    39,201.75x = 57,879 × 57,879
  4. Step 4: Simplify right side
    39,201.75x = 3,349,978,641
  5. Step 5: Solve for x
    x = 3,349,978,641/39,201.75
  6. Step 6: Final answer
    x = 85,454.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.