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Finding the Third Proportional to 380,777 and 827,203

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Solution

The third proportional to 380,777 and 827,203 is: 1,797,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,777 : 827,203 = 827,203 : x
  2. Step 2: Convert to fraction form
    380,777/827,203 = 827,203/x
  3. Step 3: Cross multiply
    380,777x = 827,203 × 827,203
  4. Step 4: Simplify right side
    380,777x = 684,264,803,209
  5. Step 5: Solve for x
    x = 684,264,803,209/380,777
  6. Step 6: Final answer
    x = 1,797,022.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.