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Finding the Third Proportional to 54,144 and 84,864

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Solution

The third proportional to 54,144 and 84,864 is: 133,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 84,864 = 84,864 : x
  2. Step 2: Convert to fraction form
    54,144/84,864 = 84,864/x
  3. Step 3: Cross multiply
    54,144x = 84,864 × 84,864
  4. Step 4: Simplify right side
    54,144x = 7,201,898,496
  5. Step 5: Solve for x
    x = 7,201,898,496/54,144
  6. Step 6: Final answer
    x = 133,013.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.