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Finding the Third Proportional to 397,884 and 854,664

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Solution

The third proportional to 397,884 and 854,664 is: 1,835,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,884 : 854,664 = 854,664 : x
  2. Step 2: Convert to fraction form
    397,884/854,664 = 854,664/x
  3. Step 3: Cross multiply
    397,884x = 854,664 × 854,664
  4. Step 4: Simplify right side
    397,884x = 730,450,552,896
  5. Step 5: Solve for x
    x = 730,450,552,896/397,884
  6. Step 6: Final answer
    x = 1,835,837.97

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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.