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Finding the Third Proportional to 447,764 and 620,604

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Solution

The third proportional to 447,764 and 620,604 is: 860,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,764 : 620,604 = 620,604 : x
  2. Step 2: Convert to fraction form
    447,764/620,604 = 620,604/x
  3. Step 3: Cross multiply
    447,764x = 620,604 × 620,604
  4. Step 4: Simplify right side
    447,764x = 385,149,324,816
  5. Step 5: Solve for x
    x = 385,149,324,816/447,764
  6. Step 6: Final answer
    x = 860,161.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.