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Finding the Third Proportional to 380,720 and 818,855

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Solution

The third proportional to 380,720 and 818,855 is: 1,761,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,720 : 818,855 = 818,855 : x
  2. Step 2: Convert to fraction form
    380,720/818,855 = 818,855/x
  3. Step 3: Cross multiply
    380,720x = 818,855 × 818,855
  4. Step 4: Simplify right side
    380,720x = 670,523,511,025
  5. Step 5: Solve for x
    x = 670,523,511,025/380,720
  6. Step 6: Final answer
    x = 1,761,198.55

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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.