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Finding the Third Proportional to 54,249 and 81,084

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Solution

The third proportional to 54,249 and 81,084 is: 121,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,249 : 81,084 = 81,084 : x
  2. Step 2: Convert to fraction form
    54,249/81,084 = 81,084/x
  3. Step 3: Cross multiply
    54,249x = 81,084 × 81,084
  4. Step 4: Simplify right side
    54,249x = 6,574,615,056
  5. Step 5: Solve for x
    x = 6,574,615,056/54,249
  6. Step 6: Final answer
    x = 121,193.29

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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.