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Finding the Third Proportional to 408,876 and 620,696

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Solution

The third proportional to 408,876 and 620,696 is: 942,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,876 : 620,696 = 620,696 : x
  2. Step 2: Convert to fraction form
    408,876/620,696 = 620,696/x
  3. Step 3: Cross multiply
    408,876x = 620,696 × 620,696
  4. Step 4: Simplify right side
    408,876x = 385,263,524,416
  5. Step 5: Solve for x
    x = 385,263,524,416/408,876
  6. Step 6: Final answer
    x = 942,250.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.