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Finding the Third Proportional to 383,172 and 823,212

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Solution

The third proportional to 383,172 and 823,212 is: 1,768,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,172 : 823,212 = 823,212 : x
  2. Step 2: Convert to fraction form
    383,172/823,212 = 823,212/x
  3. Step 3: Cross multiply
    383,172x = 823,212 × 823,212
  4. Step 4: Simplify right side
    383,172x = 677,677,996,944
  5. Step 5: Solve for x
    x = 677,677,996,944/383,172
  6. Step 6: Final answer
    x = 1,768,599.99

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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.