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Finding the Third Proportional to 422,734 and 921,330

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Solution

The third proportional to 422,734 and 921,330 is: 2,007,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,734 : 921,330 = 921,330 : x
  2. Step 2: Convert to fraction form
    422,734/921,330 = 921,330/x
  3. Step 3: Cross multiply
    422,734x = 921,330 × 921,330
  4. Step 4: Simplify right side
    422,734x = 848,848,968,900
  5. Step 5: Solve for x
    x = 848,848,968,900/422,734
  6. Step 6: Final answer
    x = 2,007,997.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.