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Finding the Third Proportional to 339,370 and 670,170

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Solution

The third proportional to 339,370 and 670,170 is: 1,323,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,370 : 670,170 = 670,170 : x
  2. Step 2: Convert to fraction form
    339,370/670,170 = 670,170/x
  3. Step 3: Cross multiply
    339,370x = 670,170 × 670,170
  4. Step 4: Simplify right side
    339,370x = 449,127,828,900
  5. Step 5: Solve for x
    x = 449,127,828,900/339,370
  6. Step 6: Final answer
    x = 1,323,416.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.