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Finding the Third Proportional to 339,429 and 670,284

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Solution

The third proportional to 339,429 and 670,284 is: 1,323,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,429 : 670,284 = 670,284 : x
  2. Step 2: Convert to fraction form
    339,429/670,284 = 670,284/x
  3. Step 3: Cross multiply
    339,429x = 670,284 × 670,284
  4. Step 4: Simplify right side
    339,429x = 449,280,640,656
  5. Step 5: Solve for x
    x = 449,280,640,656/339,429
  6. Step 6: Final answer
    x = 1,323,636.58

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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.