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Finding the Third Proportional to 54,450 and 84,125.25

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Solution

The third proportional to 54,450 and 84,125.25 is: 129,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,450 : 84,125.25 = 84,125.25 : x
  2. Step 2: Convert to fraction form
    54,450/84,125.25 = 84,125.25/x
  3. Step 3: Cross multiply
    54,450x = 84,125.25 × 84,125.25
  4. Step 4: Simplify right side
    54,450x = 7,077,057,687.56
  5. Step 5: Solve for x
    x = 7,077,057,687.56/54,450
  6. Step 6: Final answer
    x = 129,973.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.