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Finding the Third Proportional to 17,811 and 27,797

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Solution

The third proportional to 17,811 and 27,797 is: 43,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811 : 27,797 = 27,797 : x
  2. Step 2: Convert to fraction form
    17,811/27,797 = 27,797/x
  3. Step 3: Cross multiply
    17,811x = 27,797 × 27,797
  4. Step 4: Simplify right side
    17,811x = 772,673,209
  5. Step 5: Solve for x
    x = 772,673,209/17,811
  6. Step 6: Final answer
    x = 43,381.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.