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Finding the Third Proportional to 17,787 and 38,793

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Solution

The third proportional to 17,787 and 38,793 is: 84,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 38,793 = 38,793 : x
  2. Step 2: Convert to fraction form
    17,787/38,793 = 38,793/x
  3. Step 3: Cross multiply
    17,787x = 38,793 × 38,793
  4. Step 4: Simplify right side
    17,787x = 1,504,896,849
  5. Step 5: Solve for x
    x = 1,504,896,849/17,787
  6. Step 6: Final answer
    x = 84,606.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.