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Finding the Third Proportional to 353,939 and 770,085

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Solution

The third proportional to 353,939 and 770,085 is: 1,675,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,939 : 770,085 = 770,085 : x
  2. Step 2: Convert to fraction form
    353,939/770,085 = 770,085/x
  3. Step 3: Cross multiply
    353,939x = 770,085 × 770,085
  4. Step 4: Simplify right side
    353,939x = 593,030,907,225
  5. Step 5: Solve for x
    x = 593,030,907,225/353,939
  6. Step 6: Final answer
    x = 1,675,517.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.