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Finding the Third Proportional to 380,262 and 820,812

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Solution

The third proportional to 380,262 and 820,812 is: 1,771,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,262 : 820,812 = 820,812 : x
  2. Step 2: Convert to fraction form
    380,262/820,812 = 820,812/x
  3. Step 3: Cross multiply
    380,262x = 820,812 × 820,812
  4. Step 4: Simplify right side
    380,262x = 673,732,339,344
  5. Step 5: Solve for x
    x = 673,732,339,344/380,262
  6. Step 6: Final answer
    x = 1,771,758.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.