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Finding the Third Proportional to 53,722 and 80,631

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Solution

The third proportional to 53,722 and 80,631 is: 121,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,722 : 80,631 = 80,631 : x
  2. Step 2: Convert to fraction form
    53,722/80,631 = 80,631/x
  3. Step 3: Cross multiply
    53,722x = 80,631 × 80,631
  4. Step 4: Simplify right side
    53,722x = 6,501,358,161
  5. Step 5: Solve for x
    x = 6,501,358,161/53,722
  6. Step 6: Final answer
    x = 121,018.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.