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Finding the Third Proportional to 39,991 and 84,901

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Solution

The third proportional to 39,991 and 84,901 is: 180,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991 : 84,901 = 84,901 : x
  2. Step 2: Convert to fraction form
    39,991/84,901 = 84,901/x
  3. Step 3: Cross multiply
    39,991x = 84,901 × 84,901
  4. Step 4: Simplify right side
    39,991x = 7,208,179,801
  5. Step 5: Solve for x
    x = 7,208,179,801/39,991
  6. Step 6: Final answer
    x = 180,245.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.