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Finding the Third Proportional to 339,909 and 733,035

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Solution

The third proportional to 339,909 and 733,035 is: 1,580,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,909 : 733,035 = 733,035 : x
  2. Step 2: Convert to fraction form
    339,909/733,035 = 733,035/x
  3. Step 3: Cross multiply
    339,909x = 733,035 × 733,035
  4. Step 4: Simplify right side
    339,909x = 537,340,311,225
  5. Step 5: Solve for x
    x = 537,340,311,225/339,909
  6. Step 6: Final answer
    x = 1,580,835.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.