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Finding the Third Proportional to 397,962 and 858,968

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Solution

The third proportional to 397,962 and 858,968 is: 1,854,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,962 : 858,968 = 858,968 : x
  2. Step 2: Convert to fraction form
    397,962/858,968 = 858,968/x
  3. Step 3: Cross multiply
    397,962x = 858,968 × 858,968
  4. Step 4: Simplify right side
    397,962x = 737,826,025,024
  5. Step 5: Solve for x
    x = 737,826,025,024/397,962
  6. Step 6: Final answer
    x = 1,854,011.25

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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.