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Finding the Third Proportional to 39,801 and 86,628.75

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Solution

The third proportional to 39,801 and 86,628.75 is: 188,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,801 : 86,628.75 = 86,628.75 : x
  2. Step 2: Convert to fraction form
    39,801/86,628.75 = 86,628.75/x
  3. Step 3: Cross multiply
    39,801x = 86,628.75 × 86,628.75
  4. Step 4: Simplify right side
    39,801x = 7,504,540,326.56
  5. Step 5: Solve for x
    x = 7,504,540,326.56/39,801
  6. Step 6: Final answer
    x = 188,551.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.