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Finding the Third Proportional to 408,178 and 613,823

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Solution

The third proportional to 408,178 and 613,823 is: 923,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,178 : 613,823 = 613,823 : x
  2. Step 2: Convert to fraction form
    408,178/613,823 = 613,823/x
  3. Step 3: Cross multiply
    408,178x = 613,823 × 613,823
  4. Step 4: Simplify right side
    408,178x = 376,778,675,329
  5. Step 5: Solve for x
    x = 376,778,675,329/408,178
  6. Step 6: Final answer
    x = 923,074.43

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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.