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Finding the Third Proportional to 386,984.50 and 820,793.25

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Solution

The third proportional to 386,984.50 and 820,793.25 is: 1,740,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,984.50 : 820,793.25 = 820,793.25 : x
  2. Step 2: Convert to fraction form
    386,984.50/820,793.25 = 820,793.25/x
  3. Step 3: Cross multiply
    386,984.50x = 820,793.25 × 820,793.25
  4. Step 4: Simplify right side
    386,984.50x = 673,701,559,245.56
  5. Step 5: Solve for x
    x = 673,701,559,245.56/386,984.50
  6. Step 6: Final answer
    x = 1,740,900.63

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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.