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Finding the Third Proportional to 380,813 and 821,137

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Solution

The third proportional to 380,813 and 821,137 is: 1,770,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,813 : 821,137 = 821,137 : x
  2. Step 2: Convert to fraction form
    380,813/821,137 = 821,137/x
  3. Step 3: Cross multiply
    380,813x = 821,137 × 821,137
  4. Step 4: Simplify right side
    380,813x = 674,265,972,769
  5. Step 5: Solve for x
    x = 674,265,972,769/380,813
  6. Step 6: Final answer
    x = 1,770,596.00

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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.