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Finding the Third Proportional to 20,268 and 27,840

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Solution

The third proportional to 20,268 and 27,840 is: 38,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 27,840 = 27,840 : x
  2. Step 2: Convert to fraction form
    20,268/27,840 = 27,840/x
  3. Step 3: Cross multiply
    20,268x = 27,840 × 27,840
  4. Step 4: Simplify right side
    20,268x = 775,065,600
  5. Step 5: Solve for x
    x = 775,065,600/20,268
  6. Step 6: Final answer
    x = 38,240.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.