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Finding the Third Proportional to 381,058 and 821,601

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Solution

The third proportional to 381,058 and 821,601 is: 1,771,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,058 : 821,601 = 821,601 : x
  2. Step 2: Convert to fraction form
    381,058/821,601 = 821,601/x
  3. Step 3: Cross multiply
    381,058x = 821,601 × 821,601
  4. Step 4: Simplify right side
    381,058x = 675,028,203,201
  5. Step 5: Solve for x
    x = 675,028,203,201/381,058
  6. Step 6: Final answer
    x = 1,771,457.90

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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.