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Finding the Third Proportional to 54,382.50 and 84,039.75

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Solution

The third proportional to 54,382.50 and 84,039.75 is: 129,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.50 : 84,039.75 = 84,039.75 : x
  2. Step 2: Convert to fraction form
    54,382.50/84,039.75 = 84,039.75/x
  3. Step 3: Cross multiply
    54,382.50x = 84,039.75 × 84,039.75
  4. Step 4: Simplify right side
    54,382.50x = 7,062,679,580.06
  5. Step 5: Solve for x
    x = 7,062,679,580.06/54,382.50
  6. Step 6: Final answer
    x = 129,870.45

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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.