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Finding the Third Proportional to 199,170 and 298,971

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Solution

The third proportional to 199,170 and 298,971 is: 448,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,170 : 298,971 = 298,971 : x
  2. Step 2: Convert to fraction form
    199,170/298,971 = 298,971/x
  3. Step 3: Cross multiply
    199,170x = 298,971 × 298,971
  4. Step 4: Simplify right side
    199,170x = 89,383,658,841
  5. Step 5: Solve for x
    x = 89,383,658,841/199,170
  6. Step 6: Final answer
    x = 448,780.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.