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Finding the Third Proportional to 39,101 and 85,979

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Solution

The third proportional to 39,101 and 85,979 is: 189,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,101 : 85,979 = 85,979 : x
  2. Step 2: Convert to fraction form
    39,101/85,979 = 85,979/x
  3. Step 3: Cross multiply
    39,101x = 85,979 × 85,979
  4. Step 4: Simplify right side
    39,101x = 7,392,388,441
  5. Step 5: Solve for x
    x = 7,392,388,441/39,101
  6. Step 6: Final answer
    x = 189,058.81

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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.