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Finding the Third Proportional to 18,504 and 39,967

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Solution

The third proportional to 18,504 and 39,967 is: 86,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 39,967 = 39,967 : x
  2. Step 2: Convert to fraction form
    18,504/39,967 = 39,967/x
  3. Step 3: Cross multiply
    18,504x = 39,967 × 39,967
  4. Step 4: Simplify right side
    18,504x = 1,597,361,089
  5. Step 5: Solve for x
    x = 1,597,361,089/18,504
  6. Step 6: Final answer
    x = 86,325.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.