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Finding the Third Proportional to 19,811 and 27,245

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Solution

The third proportional to 19,811 and 27,245 is: 37,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811 : 27,245 = 27,245 : x
  2. Step 2: Convert to fraction form
    19,811/27,245 = 27,245/x
  3. Step 3: Cross multiply
    19,811x = 27,245 × 27,245
  4. Step 4: Simplify right side
    19,811x = 742,290,025
  5. Step 5: Solve for x
    x = 742,290,025/19,811
  6. Step 6: Final answer
    x = 37,468.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.