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Finding the Third Proportional to 629,734.50 and 828,204.75

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Solution

The third proportional to 629,734.50 and 828,204.75 is: 1,089,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,734.50 : 828,204.75 = 828,204.75 : x
  2. Step 2: Convert to fraction form
    629,734.50/828,204.75 = 828,204.75/x
  3. Step 3: Cross multiply
    629,734.50x = 828,204.75 × 828,204.75
  4. Step 4: Simplify right side
    629,734.50x = 685,923,107,922.56
  5. Step 5: Solve for x
    x = 685,923,107,922.56/629,734.50
  6. Step 6: Final answer
    x = 1,089,225.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.