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Finding the Third Proportional to 381,818 and 582,771

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Solution

The third proportional to 381,818 and 582,771 is: 889,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,818 : 582,771 = 582,771 : x
  2. Step 2: Convert to fraction form
    381,818/582,771 = 582,771/x
  3. Step 3: Cross multiply
    381,818x = 582,771 × 582,771
  4. Step 4: Simplify right side
    381,818x = 339,622,038,441
  5. Step 5: Solve for x
    x = 339,622,038,441/381,818
  6. Step 6: Final answer
    x = 889,486.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.