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Finding the Third Proportional to 54,019.75 and 81,774.75

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Solution

The third proportional to 54,019.75 and 81,774.75 is: 123,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,019.75 : 81,774.75 = 81,774.75 : x
  2. Step 2: Convert to fraction form
    54,019.75/81,774.75 = 81,774.75/x
  3. Step 3: Cross multiply
    54,019.75x = 81,774.75 × 81,774.75
  4. Step 4: Simplify right side
    54,019.75x = 6,687,109,737.56
  5. Step 5: Solve for x
    x = 6,687,109,737.56/54,019.75
  6. Step 6: Final answer
    x = 123,790.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.