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Finding the Third Proportional to 19,787 and 40,305

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Solution

The third proportional to 19,787 and 40,305 is: 82,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787 : 40,305 = 40,305 : x
  2. Step 2: Convert to fraction form
    19,787/40,305 = 40,305/x
  3. Step 3: Cross multiply
    19,787x = 40,305 × 40,305
  4. Step 4: Simplify right side
    19,787x = 1,624,493,025
  5. Step 5: Solve for x
    x = 1,624,493,025/19,787
  6. Step 6: Final answer
    x = 82,099.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.