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Finding the Third Proportional to 408,698 and 613,183

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Solution

The third proportional to 408,698 and 613,183 is: 919,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,698 : 613,183 = 613,183 : x
  2. Step 2: Convert to fraction form
    408,698/613,183 = 613,183/x
  3. Step 3: Cross multiply
    408,698x = 613,183 × 613,183
  4. Step 4: Simplify right side
    408,698x = 375,993,391,489
  5. Step 5: Solve for x
    x = 375,993,391,489/408,698
  6. Step 6: Final answer
    x = 919,978.55

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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.