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Finding the Third Proportional to 321,346 and 678,812

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Solution

The third proportional to 321,346 and 678,812 is: 1,433,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,346 : 678,812 = 678,812 : x
  2. Step 2: Convert to fraction form
    321,346/678,812 = 678,812/x
  3. Step 3: Cross multiply
    321,346x = 678,812 × 678,812
  4. Step 4: Simplify right side
    321,346x = 460,785,731,344
  5. Step 5: Solve for x
    x = 460,785,731,344/321,346
  6. Step 6: Final answer
    x = 1,433,923.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.