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Finding the Third Proportional to 399,078 and 886,728

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Solution

The third proportional to 399,078 and 886,728 is: 1,970,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,078 : 886,728 = 886,728 : x
  2. Step 2: Convert to fraction form
    399,078/886,728 = 886,728/x
  3. Step 3: Cross multiply
    399,078x = 886,728 × 886,728
  4. Step 4: Simplify right side
    399,078x = 786,286,545,984
  5. Step 5: Solve for x
    x = 786,286,545,984/399,078
  6. Step 6: Final answer
    x = 1,970,257.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.