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Finding the Third Proportional to 154,647 and 339,183

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Solution

The third proportional to 154,647 and 339,183 is: 743,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,647 : 339,183 = 339,183 : x
  2. Step 2: Convert to fraction form
    154,647/339,183 = 339,183/x
  3. Step 3: Cross multiply
    154,647x = 339,183 × 339,183
  4. Step 4: Simplify right side
    154,647x = 115,045,107,489
  5. Step 5: Solve for x
    x = 115,045,107,489/154,647
  6. Step 6: Final answer
    x = 743,920.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.