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Finding the Third Proportional to 54,542 and 86,997

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Solution

The third proportional to 54,542 and 86,997 is: 138,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542 : 86,997 = 86,997 : x
  2. Step 2: Convert to fraction form
    54,542/86,997 = 86,997/x
  3. Step 3: Cross multiply
    54,542x = 86,997 × 86,997
  4. Step 4: Simplify right side
    54,542x = 7,568,478,009
  5. Step 5: Solve for x
    x = 7,568,478,009/54,542
  6. Step 6: Final answer
    x = 138,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.