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Finding the Third Proportional to 18,446 and 40,019

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Solution

The third proportional to 18,446 and 40,019 is: 86,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,446 : 40,019 = 40,019 : x
  2. Step 2: Convert to fraction form
    18,446/40,019 = 40,019/x
  3. Step 3: Cross multiply
    18,446x = 40,019 × 40,019
  4. Step 4: Simplify right side
    18,446x = 1,601,520,361
  5. Step 5: Solve for x
    x = 1,601,520,361/18,446
  6. Step 6: Final answer
    x = 86,822.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.