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Finding the Third Proportional to 394,117 and 866,965

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Solution

The third proportional to 394,117 and 866,965 is: 1,907,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,117 : 866,965 = 866,965 : x
  2. Step 2: Convert to fraction form
    394,117/866,965 = 866,965/x
  3. Step 3: Cross multiply
    394,117x = 866,965 × 866,965
  4. Step 4: Simplify right side
    394,117x = 751,628,311,225
  5. Step 5: Solve for x
    x = 751,628,311,225/394,117
  6. Step 6: Final answer
    x = 1,907,119.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.