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Finding the Third Proportional to 54,252 and 81,088

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Solution

The third proportional to 54,252 and 81,088 is: 121,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252 : 81,088 = 81,088 : x
  2. Step 2: Convert to fraction form
    54,252/81,088 = 81,088/x
  3. Step 3: Cross multiply
    54,252x = 81,088 × 81,088
  4. Step 4: Simplify right side
    54,252x = 6,575,263,744
  5. Step 5: Solve for x
    x = 6,575,263,744/54,252
  6. Step 6: Final answer
    x = 121,198.55

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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.