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Finding the Third Proportional to 54,153 and 81,229

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Solution

The third proportional to 54,153 and 81,229 is: 121,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,153 : 81,229 = 81,229 : x
  2. Step 2: Convert to fraction form
    54,153/81,229 = 81,229/x
  3. Step 3: Cross multiply
    54,153x = 81,229 × 81,229
  4. Step 4: Simplify right side
    54,153x = 6,598,150,441
  5. Step 5: Solve for x
    x = 6,598,150,441/54,153
  6. Step 6: Final answer
    x = 121,842.75

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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.