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Finding the Third Proportional to 39,102 and 85,980

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Solution

The third proportional to 39,102 and 85,980 is: 189,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102 : 85,980 = 85,980 : x
  2. Step 2: Convert to fraction form
    39,102/85,980 = 85,980/x
  3. Step 3: Cross multiply
    39,102x = 85,980 × 85,980
  4. Step 4: Simplify right side
    39,102x = 7,392,560,400
  5. Step 5: Solve for x
    x = 7,392,560,400/39,102
  6. Step 6: Final answer
    x = 189,058.37

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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.