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Finding the Third Proportional to 379,628 and 770,164

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Solution

The third proportional to 379,628 and 770,164 is: 1,562,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,628 : 770,164 = 770,164 : x
  2. Step 2: Convert to fraction form
    379,628/770,164 = 770,164/x
  3. Step 3: Cross multiply
    379,628x = 770,164 × 770,164
  4. Step 4: Simplify right side
    379,628x = 593,152,586,896
  5. Step 5: Solve for x
    x = 593,152,586,896/379,628
  6. Step 6: Final answer
    x = 1,562,457.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.