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Finding the Third Proportional to 9,828 and 19,170

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Solution

The third proportional to 9,828 and 19,170 is: 37,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 19,170 = 19,170 : x
  2. Step 2: Convert to fraction form
    9,828/19,170 = 19,170/x
  3. Step 3: Cross multiply
    9,828x = 19,170 × 19,170
  4. Step 4: Simplify right side
    9,828x = 367,488,900
  5. Step 5: Solve for x
    x = 367,488,900/9,828
  6. Step 6: Final answer
    x = 37,392.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.