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Finding the Third Proportional to 39,305 and 84,885

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Solution

The third proportional to 39,305 and 84,885 is: 183,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,305 : 84,885 = 84,885 : x
  2. Step 2: Convert to fraction form
    39,305/84,885 = 84,885/x
  3. Step 3: Cross multiply
    39,305x = 84,885 × 84,885
  4. Step 4: Simplify right side
    39,305x = 7,205,463,225
  5. Step 5: Solve for x
    x = 7,205,463,225/39,305
  6. Step 6: Final answer
    x = 183,321.80

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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.