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Finding the Third Proportional to 54,016.31 and 81,771.19

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Solution

The third proportional to 54,016.31 and 81,771.19 is: 123,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016.31 : 81,771.19 = 81,771.19 : x
  2. Step 2: Convert to fraction form
    54,016.31/81,771.19 = 81,771.19/x
  3. Step 3: Cross multiply
    54,016.31x = 81,771.19 × 81,771.19
  4. Step 4: Simplify right side
    54,016.31x = 6,686,527,105.16
  5. Step 5: Solve for x
    x = 6,686,527,105.16/54,016.31
  6. Step 6: Final answer
    x = 123,787.18

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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.