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Finding the Third Proportional to 384,351.75 and 821,907

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Solution

The third proportional to 384,351.75 and 821,907 is: 1,757,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,351.75 : 821,907 = 821,907 : x
  2. Step 2: Convert to fraction form
    384,351.75/821,907 = 821,907/x
  3. Step 3: Cross multiply
    384,351.75x = 821,907 × 821,907
  4. Step 4: Simplify right side
    384,351.75x = 675,531,116,649
  5. Step 5: Solve for x
    x = 675,531,116,649/384,351.75
  6. Step 6: Final answer
    x = 1,757,585.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.