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Finding the Third Proportional to 422,645 and 618,795

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Solution

The third proportional to 422,645 and 618,795 is: 905,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,645 : 618,795 = 618,795 : x
  2. Step 2: Convert to fraction form
    422,645/618,795 = 618,795/x
  3. Step 3: Cross multiply
    422,645x = 618,795 × 618,795
  4. Step 4: Simplify right side
    422,645x = 382,907,252,025
  5. Step 5: Solve for x
    x = 382,907,252,025/422,645
  6. Step 6: Final answer
    x = 905,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.