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Finding the Third Proportional to 397,946 and 858,912

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Solution

The third proportional to 397,946 and 858,912 is: 1,853,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,946 : 858,912 = 858,912 : x
  2. Step 2: Convert to fraction form
    397,946/858,912 = 858,912/x
  3. Step 3: Cross multiply
    397,946x = 858,912 × 858,912
  4. Step 4: Simplify right side
    397,946x = 737,729,823,744
  5. Step 5: Solve for x
    x = 737,729,823,744/397,946
  6. Step 6: Final answer
    x = 1,853,844.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.