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Finding the Third Proportional to 443,077 and 664,453

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Solution

The third proportional to 443,077 and 664,453 is: 996,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,077 : 664,453 = 664,453 : x
  2. Step 2: Convert to fraction form
    443,077/664,453 = 664,453/x
  3. Step 3: Cross multiply
    443,077x = 664,453 × 664,453
  4. Step 4: Simplify right side
    443,077x = 441,497,789,209
  5. Step 5: Solve for x
    x = 441,497,789,209/443,077
  6. Step 6: Final answer
    x = 996,435.81

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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.