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Finding the Third Proportional to 54,128.25 and 81,111.38

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Solution

The third proportional to 54,128.25 and 81,111.38 is: 121,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,128.25 : 81,111.38 = 81,111.38 : x
  2. Step 2: Convert to fraction form
    54,128.25/81,111.38 = 81,111.38/x
  3. Step 3: Cross multiply
    54,128.25x = 81,111.38 × 81,111.38
  4. Step 4: Simplify right side
    54,128.25x = 6,579,055,154.39
  5. Step 5: Solve for x
    x = 6,579,055,154.39/54,128.25
  6. Step 6: Final answer
    x = 121,545.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.