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Finding the Third Proportional to 386,945.23 and 820,893.87

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Solution

The third proportional to 386,945.23 and 820,893.87 is: 1,741,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,945.23 : 820,893.87 = 820,893.87 : x
  2. Step 2: Convert to fraction form
    386,945.23/820,893.87 = 820,893.87/x
  3. Step 3: Cross multiply
    386,945.23x = 820,893.87 × 820,893.87
  4. Step 4: Simplify right side
    386,945.23x = 673,866,741,186.05
  5. Step 5: Solve for x
    x = 673,866,741,186.05/386,945.23
  6. Step 6: Final answer
    x = 1,741,504.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.