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Finding the Third Proportional to 39,897 and 81,616.50

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Solution

The third proportional to 39,897 and 81,616.50 is: 166,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897 : 81,616.50 = 81,616.50 : x
  2. Step 2: Convert to fraction form
    39,897/81,616.50 = 81,616.50/x
  3. Step 3: Cross multiply
    39,897x = 81,616.50 × 81,616.50
  4. Step 4: Simplify right side
    39,897x = 6,661,253,072.25
  5. Step 5: Solve for x
    x = 6,661,253,072.25/39,897
  6. Step 6: Final answer
    x = 166,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.