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Finding the Third Proportional to 443,075 and 664,450

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Solution

The third proportional to 443,075 and 664,450 is: 996,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,075 : 664,450 = 664,450 : x
  2. Step 2: Convert to fraction form
    443,075/664,450 = 664,450/x
  3. Step 3: Cross multiply
    443,075x = 664,450 × 664,450
  4. Step 4: Simplify right side
    443,075x = 441,493,802,500
  5. Step 5: Solve for x
    x = 441,493,802,500/443,075
  6. Step 6: Final answer
    x = 996,431.31

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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.