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Finding the Third Proportional to 379,728 and 818,208

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Solution

The third proportional to 379,728 and 818,208 is: 1,763,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,728 : 818,208 = 818,208 : x
  2. Step 2: Convert to fraction form
    379,728/818,208 = 818,208/x
  3. Step 3: Cross multiply
    379,728x = 818,208 × 818,208
  4. Step 4: Simplify right side
    379,728x = 669,464,331,264
  5. Step 5: Solve for x
    x = 669,464,331,264/379,728
  6. Step 6: Final answer
    x = 1,763,010.18

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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.