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Finding the Third Proportional to 18,472 and 39,401

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Solution

The third proportional to 18,472 and 39,401 is: 84,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472 : 39,401 = 39,401 : x
  2. Step 2: Convert to fraction form
    18,472/39,401 = 39,401/x
  3. Step 3: Cross multiply
    18,472x = 39,401 × 39,401
  4. Step 4: Simplify right side
    18,472x = 1,552,438,801
  5. Step 5: Solve for x
    x = 1,552,438,801/18,472
  6. Step 6: Final answer
    x = 84,042.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.