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Finding the Third Proportional to 39,531 and 86,838

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Solution

The third proportional to 39,531 and 86,838 is: 190,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,531 : 86,838 = 86,838 : x
  2. Step 2: Convert to fraction form
    39,531/86,838 = 86,838/x
  3. Step 3: Cross multiply
    39,531x = 86,838 × 86,838
  4. Step 4: Simplify right side
    39,531x = 7,540,838,244
  5. Step 5: Solve for x
    x = 7,540,838,244/39,531
  6. Step 6: Final answer
    x = 190,757.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.