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Finding the Third Proportional to 11,620 and 18,467

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Solution

The third proportional to 11,620 and 18,467 is: 29,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620 : 18,467 = 18,467 : x
  2. Step 2: Convert to fraction form
    11,620/18,467 = 18,467/x
  3. Step 3: Cross multiply
    11,620x = 18,467 × 18,467
  4. Step 4: Simplify right side
    11,620x = 341,030,089
  5. Step 5: Solve for x
    x = 341,030,089/11,620
  6. Step 6: Final answer
    x = 29,348.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.