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Finding the Third Proportional to 17,828 and 38,119

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Solution

The third proportional to 17,828 and 38,119 is: 81,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828 : 38,119 = 38,119 : x
  2. Step 2: Convert to fraction form
    17,828/38,119 = 38,119/x
  3. Step 3: Cross multiply
    17,828x = 38,119 × 38,119
  4. Step 4: Simplify right side
    17,828x = 1,453,058,161
  5. Step 5: Solve for x
    x = 1,453,058,161/17,828
  6. Step 6: Final answer
    x = 81,504.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.