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Finding the Third Proportional to 27,989 and 43,401

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Solution

The third proportional to 27,989 and 43,401 is: 67,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989 : 43,401 = 43,401 : x
  2. Step 2: Convert to fraction form
    27,989/43,401 = 43,401/x
  3. Step 3: Cross multiply
    27,989x = 43,401 × 43,401
  4. Step 4: Simplify right side
    27,989x = 1,883,646,801
  5. Step 5: Solve for x
    x = 1,883,646,801/27,989
  6. Step 6: Final answer
    x = 67,299.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.