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Finding the Third Proportional to 11,888 and 18,401

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Solution

The third proportional to 11,888 and 18,401 is: 28,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888 : 18,401 = 18,401 : x
  2. Step 2: Convert to fraction form
    11,888/18,401 = 18,401/x
  3. Step 3: Cross multiply
    11,888x = 18,401 × 18,401
  4. Step 4: Simplify right side
    11,888x = 338,596,801
  5. Step 5: Solve for x
    x = 338,596,801/11,888
  6. Step 6: Final answer
    x = 28,482.23

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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.