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Finding the Third Proportional to 397,620 and 854,567

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Solution

The third proportional to 397,620 and 854,567 is: 1,836,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,620 : 854,567 = 854,567 : x
  2. Step 2: Convert to fraction form
    397,620/854,567 = 854,567/x
  3. Step 3: Cross multiply
    397,620x = 854,567 × 854,567
  4. Step 4: Simplify right side
    397,620x = 730,284,757,489
  5. Step 5: Solve for x
    x = 730,284,757,489/397,620
  6. Step 6: Final answer
    x = 1,836,639.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.