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Finding the Third Proportional to 339,420 and 670,272

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Solution

The third proportional to 339,420 and 670,272 is: 1,323,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,420 : 670,272 = 670,272 : x
  2. Step 2: Convert to fraction form
    339,420/670,272 = 670,272/x
  3. Step 3: Cross multiply
    339,420x = 670,272 × 670,272
  4. Step 4: Simplify right side
    339,420x = 449,264,553,984
  5. Step 5: Solve for x
    x = 449,264,553,984/339,420
  6. Step 6: Final answer
    x = 1,323,624.28

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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.