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Finding the Third Proportional to 127,977 and 298,971

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Solution

The third proportional to 127,977 and 298,971 is: 698,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,977 : 298,971 = 298,971 : x
  2. Step 2: Convert to fraction form
    127,977/298,971 = 298,971/x
  3. Step 3: Cross multiply
    127,977x = 298,971 × 298,971
  4. Step 4: Simplify right side
    127,977x = 89,383,658,841
  5. Step 5: Solve for x
    x = 89,383,658,841/127,977
  6. Step 6: Final answer
    x = 698,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.