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Finding the Third Proportional to 380,776 and 827,201

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Solution

The third proportional to 380,776 and 827,201 is: 1,797,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,776 : 827,201 = 827,201 : x
  2. Step 2: Convert to fraction form
    380,776/827,201 = 827,201/x
  3. Step 3: Cross multiply
    380,776x = 827,201 × 827,201
  4. Step 4: Simplify right side
    380,776x = 684,261,494,401
  5. Step 5: Solve for x
    x = 684,261,494,401/380,776
  6. Step 6: Final answer
    x = 1,797,018.44

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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.