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Finding the Third Proportional to 39,540 and 86,856

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Solution

The third proportional to 39,540 and 86,856 is: 190,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,540 : 86,856 = 86,856 : x
  2. Step 2: Convert to fraction form
    39,540/86,856 = 86,856/x
  3. Step 3: Cross multiply
    39,540x = 86,856 × 86,856
  4. Step 4: Simplify right side
    39,540x = 7,543,964,736
  5. Step 5: Solve for x
    x = 7,543,964,736/39,540
  6. Step 6: Final answer
    x = 190,793.24

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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.