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Finding the Third Proportional to 434,517 and 682,503

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Solution

The third proportional to 434,517 and 682,503 is: 1,072,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,517 : 682,503 = 682,503 : x
  2. Step 2: Convert to fraction form
    434,517/682,503 = 682,503/x
  3. Step 3: Cross multiply
    434,517x = 682,503 × 682,503
  4. Step 4: Simplify right side
    434,517x = 465,810,345,009
  5. Step 5: Solve for x
    x = 465,810,345,009/434,517
  6. Step 6: Final answer
    x = 1,072,018.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.