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Finding the Third Proportional to 11,179 and 14,911

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Solution

The third proportional to 11,179 and 14,911 is: 19,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179 : 14,911 = 14,911 : x
  2. Step 2: Convert to fraction form
    11,179/14,911 = 14,911/x
  3. Step 3: Cross multiply
    11,179x = 14,911 × 14,911
  4. Step 4: Simplify right side
    11,179x = 222,337,921
  5. Step 5: Solve for x
    x = 222,337,921/11,179
  6. Step 6: Final answer
    x = 19,888.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.