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Finding the Third Proportional to 54,258 and 81,330

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Solution

The third proportional to 54,258 and 81,330 is: 121,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,258 : 81,330 = 81,330 : x
  2. Step 2: Convert to fraction form
    54,258/81,330 = 81,330/x
  3. Step 3: Cross multiply
    54,258x = 81,330 × 81,330
  4. Step 4: Simplify right side
    54,258x = 6,614,568,900
  5. Step 5: Solve for x
    x = 6,614,568,900/54,258
  6. Step 6: Final answer
    x = 121,909.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.