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Finding the Third Proportional to 339,416 and 670,264

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Solution

The third proportional to 339,416 and 670,264 is: 1,323,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,416 : 670,264 = 670,264 : x
  2. Step 2: Convert to fraction form
    339,416/670,264 = 670,264/x
  3. Step 3: Cross multiply
    339,416x = 670,264 × 670,264
  4. Step 4: Simplify right side
    339,416x = 449,253,829,696
  5. Step 5: Solve for x
    x = 449,253,829,696/339,416
  6. Step 6: Final answer
    x = 1,323,608.29

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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.