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Finding the Third Proportional to 39,273 and 80,631

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Solution

The third proportional to 39,273 and 80,631 is: 165,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,273 : 80,631 = 80,631 : x
  2. Step 2: Convert to fraction form
    39,273/80,631 = 80,631/x
  3. Step 3: Cross multiply
    39,273x = 80,631 × 80,631
  4. Step 4: Simplify right side
    39,273x = 6,501,358,161
  5. Step 5: Solve for x
    x = 6,501,358,161/39,273
  6. Step 6: Final answer
    x = 165,542.69

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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.