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Finding the Third Proportional to 54,015 and 81,768.75

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Solution

The third proportional to 54,015 and 81,768.75 is: 123,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015 : 81,768.75 = 81,768.75 : x
  2. Step 2: Convert to fraction form
    54,015/81,768.75 = 81,768.75/x
  3. Step 3: Cross multiply
    54,015x = 81,768.75 × 81,768.75
  4. Step 4: Simplify right side
    54,015x = 6,686,128,476.56
  5. Step 5: Solve for x
    x = 6,686,128,476.56/54,015
  6. Step 6: Final answer
    x = 123,782.81

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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.