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Finding the Third Proportional to 54,072 and 80,892

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Solution

The third proportional to 54,072 and 80,892 is: 121,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 80,892 = 80,892 : x
  2. Step 2: Convert to fraction form
    54,072/80,892 = 80,892/x
  3. Step 3: Cross multiply
    54,072x = 80,892 × 80,892
  4. Step 4: Simplify right side
    54,072x = 6,543,515,664
  5. Step 5: Solve for x
    x = 6,543,515,664/54,072
  6. Step 6: Final answer
    x = 121,014.86

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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.