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Finding the Third Proportional to 299,678 and 682,499

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Solution

The third proportional to 299,678 and 682,499 is: 1,554,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,678 : 682,499 = 682,499 : x
  2. Step 2: Convert to fraction form
    299,678/682,499 = 682,499/x
  3. Step 3: Cross multiply
    299,678x = 682,499 × 682,499
  4. Step 4: Simplify right side
    299,678x = 465,804,885,001
  5. Step 5: Solve for x
    x = 465,804,885,001/299,678
  6. Step 6: Final answer
    x = 1,554,351.29

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.