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Finding the Third Proportional to 54,638 and 84,384

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Solution

The third proportional to 54,638 and 84,384 is: 130,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,638 : 84,384 = 84,384 : x
  2. Step 2: Convert to fraction form
    54,638/84,384 = 84,384/x
  3. Step 3: Cross multiply
    54,638x = 84,384 × 84,384
  4. Step 4: Simplify right side
    54,638x = 7,120,659,456
  5. Step 5: Solve for x
    x = 7,120,659,456/54,638
  6. Step 6: Final answer
    x = 130,324.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.