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Finding the Third Proportional to 39,812 and 86,992

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Solution

The third proportional to 39,812 and 86,992 is: 190,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,812 : 86,992 = 86,992 : x
  2. Step 2: Convert to fraction form
    39,812/86,992 = 86,992/x
  3. Step 3: Cross multiply
    39,812x = 86,992 × 86,992
  4. Step 4: Simplify right side
    39,812x = 7,567,608,064
  5. Step 5: Solve for x
    x = 7,567,608,064/39,812
  6. Step 6: Final answer
    x = 190,083.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.