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Finding the Third Proportional to 39,980 and 86,009

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Solution

The third proportional to 39,980 and 86,009 is: 185,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,980 : 86,009 = 86,009 : x
  2. Step 2: Convert to fraction form
    39,980/86,009 = 86,009/x
  3. Step 3: Cross multiply
    39,980x = 86,009 × 86,009
  4. Step 4: Simplify right side
    39,980x = 7,397,548,081
  5. Step 5: Solve for x
    x = 7,397,548,081/39,980
  6. Step 6: Final answer
    x = 185,031.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.