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Finding the Third Proportional to 54,731 and 81,975

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Solution

The third proportional to 54,731 and 81,975 is: 122,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,731 : 81,975 = 81,975 : x
  2. Step 2: Convert to fraction form
    54,731/81,975 = 81,975/x
  3. Step 3: Cross multiply
    54,731x = 81,975 × 81,975
  4. Step 4: Simplify right side
    54,731x = 6,719,900,625
  5. Step 5: Solve for x
    x = 6,719,900,625/54,731
  6. Step 6: Final answer
    x = 122,780.52

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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.