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Finding the Third Proportional to 54,878 and 81,992

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Solution

The third proportional to 54,878 and 81,992 is: 122,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878 : 81,992 = 81,992 : x
  2. Step 2: Convert to fraction form
    54,878/81,992 = 81,992/x
  3. Step 3: Cross multiply
    54,878x = 81,992 × 81,992
  4. Step 4: Simplify right side
    54,878x = 6,722,688,064
  5. Step 5: Solve for x
    x = 6,722,688,064/54,878
  6. Step 6: Final answer
    x = 122,502.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.