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Finding the Third Proportional to 412,821 and 837,261

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Solution

The third proportional to 412,821 and 837,261 is: 1,698,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,821 : 837,261 = 837,261 : x
  2. Step 2: Convert to fraction form
    412,821/837,261 = 837,261/x
  3. Step 3: Cross multiply
    412,821x = 837,261 × 837,261
  4. Step 4: Simplify right side
    412,821x = 701,005,982,121
  5. Step 5: Solve for x
    x = 701,005,982,121/412,821
  6. Step 6: Final answer
    x = 1,698,087.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.