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Finding the Third Proportional to 320,928 and 684,800

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Solution

The third proportional to 320,928 and 684,800 is: 1,461,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,928 : 684,800 = 684,800 : x
  2. Step 2: Convert to fraction form
    320,928/684,800 = 684,800/x
  3. Step 3: Cross multiply
    320,928x = 684,800 × 684,800
  4. Step 4: Simplify right side
    320,928x = 468,951,040,000
  5. Step 5: Solve for x
    x = 468,951,040,000/320,928
  6. Step 6: Final answer
    x = 1,461,234.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.