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Finding the Third Proportional to 19,879 and 27,556

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Solution

The third proportional to 19,879 and 27,556 is: 38,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879 : 27,556 = 27,556 : x
  2. Step 2: Convert to fraction form
    19,879/27,556 = 27,556/x
  3. Step 3: Cross multiply
    19,879x = 27,556 × 27,556
  4. Step 4: Simplify right side
    19,879x = 759,333,136
  5. Step 5: Solve for x
    x = 759,333,136/19,879
  6. Step 6: Final answer
    x = 38,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.