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Finding the Third Proportional to 397,791 and 864,837

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Solution

The third proportional to 397,791 and 864,837 is: 1,880,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,791 : 864,837 = 864,837 : x
  2. Step 2: Convert to fraction form
    397,791/864,837 = 864,837/x
  3. Step 3: Cross multiply
    397,791x = 864,837 × 864,837
  4. Step 4: Simplify right side
    397,791x = 747,943,036,569
  5. Step 5: Solve for x
    x = 747,943,036,569/397,791
  6. Step 6: Final answer
    x = 1,880,241.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.