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Finding the Third Proportional to 389,811 and 839,778

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Solution

The third proportional to 389,811 and 839,778 is: 1,809,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,811 : 839,778 = 839,778 : x
  2. Step 2: Convert to fraction form
    389,811/839,778 = 839,778/x
  3. Step 3: Cross multiply
    389,811x = 839,778 × 839,778
  4. Step 4: Simplify right side
    389,811x = 705,227,089,284
  5. Step 5: Solve for x
    x = 705,227,089,284/389,811
  6. Step 6: Final answer
    x = 1,809,151.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.