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Finding the Third Proportional to 339,407 and 670,246

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Solution

The third proportional to 339,407 and 670,246 is: 1,323,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,407 : 670,246 = 670,246 : x
  2. Step 2: Convert to fraction form
    339,407/670,246 = 670,246/x
  3. Step 3: Cross multiply
    339,407x = 670,246 × 670,246
  4. Step 4: Simplify right side
    339,407x = 449,229,700,516
  5. Step 5: Solve for x
    x = 449,229,700,516/339,407
  6. Step 6: Final answer
    x = 1,323,572.29

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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.