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Finding the Third Proportional to 54,051 and 81,249

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Solution

The third proportional to 54,051 and 81,249 is: 122,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,051 : 81,249 = 81,249 : x
  2. Step 2: Convert to fraction form
    54,051/81,249 = 81,249/x
  3. Step 3: Cross multiply
    54,051x = 81,249 × 81,249
  4. Step 4: Simplify right side
    54,051x = 6,601,400,001
  5. Step 5: Solve for x
    x = 6,601,400,001/54,051
  6. Step 6: Final answer
    x = 122,132.80

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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.