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Finding the Third Proportional to 630,589 and 1,383,811

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Solution

The third proportional to 630,589 and 1,383,811 is: 3,036,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,589 : 1,383,811 = 1,383,811 : x
  2. Step 2: Convert to fraction form
    630,589/1,383,811 = 1,383,811/x
  3. Step 3: Cross multiply
    630,589x = 1,383,811 × 1,383,811
  4. Step 4: Simplify right side
    630,589x = 1,914,932,883,721
  5. Step 5: Solve for x
    x = 1,914,932,883,721/630,589
  6. Step 6: Final answer
    x = 3,036,736.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.