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Finding the Third Proportional to 39,212 and 80,504

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Solution

The third proportional to 39,212 and 80,504 is: 165,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,212 : 80,504 = 80,504 : x
  2. Step 2: Convert to fraction form
    39,212/80,504 = 80,504/x
  3. Step 3: Cross multiply
    39,212x = 80,504 × 80,504
  4. Step 4: Simplify right side
    39,212x = 6,480,894,016
  5. Step 5: Solve for x
    x = 6,480,894,016/39,212
  6. Step 6: Final answer
    x = 165,278.33

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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.