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Finding the Third Proportional to 39,204 and 80,487

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Solution

The third proportional to 39,204 and 80,487 is: 165,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 80,487 = 80,487 : x
  2. Step 2: Convert to fraction form
    39,204/80,487 = 80,487/x
  3. Step 3: Cross multiply
    39,204x = 80,487 × 80,487
  4. Step 4: Simplify right side
    39,204x = 6,478,157,169
  5. Step 5: Solve for x
    x = 6,478,157,169/39,204
  6. Step 6: Final answer
    x = 165,242.25

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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.