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Finding the Third Proportional to 394,911 and 770,135

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Solution

The third proportional to 394,911 and 770,135 is: 1,501,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,911 : 770,135 = 770,135 : x
  2. Step 2: Convert to fraction form
    394,911/770,135 = 770,135/x
  3. Step 3: Cross multiply
    394,911x = 770,135 × 770,135
  4. Step 4: Simplify right side
    394,911x = 593,107,918,225
  5. Step 5: Solve for x
    x = 593,107,918,225/394,911
  6. Step 6: Final answer
    x = 1,501,877.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.