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Finding the Third Proportional to 379,821 and 818,145

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Solution

The third proportional to 379,821 and 818,145 is: 1,762,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,821 : 818,145 = 818,145 : x
  2. Step 2: Convert to fraction form
    379,821/818,145 = 818,145/x
  3. Step 3: Cross multiply
    379,821x = 818,145 × 818,145
  4. Step 4: Simplify right side
    379,821x = 669,361,241,025
  5. Step 5: Solve for x
    x = 669,361,241,025/379,821
  6. Step 6: Final answer
    x = 1,762,307.09

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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.