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Finding the Third Proportional to 39,979 and 86,186

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Solution

The third proportional to 39,979 and 86,186 is: 185,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,979 : 86,186 = 86,186 : x
  2. Step 2: Convert to fraction form
    39,979/86,186 = 86,186/x
  3. Step 3: Cross multiply
    39,979x = 86,186 × 86,186
  4. Step 4: Simplify right side
    39,979x = 7,428,026,596
  5. Step 5: Solve for x
    x = 7,428,026,596/39,979
  6. Step 6: Final answer
    x = 185,798.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.