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Finding the Third Proportional to 339,379 and 702,247

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Solution

The third proportional to 339,379 and 702,247 is: 1,453,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,379 : 702,247 = 702,247 : x
  2. Step 2: Convert to fraction form
    339,379/702,247 = 702,247/x
  3. Step 3: Cross multiply
    339,379x = 702,247 × 702,247
  4. Step 4: Simplify right side
    339,379x = 493,150,849,009
  5. Step 5: Solve for x
    x = 493,150,849,009/339,379
  6. Step 6: Final answer
    x = 1,453,097.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.