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Finding the Third Proportional to 383,848 and 811,988

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Solution

The third proportional to 383,848 and 811,988 is: 1,717,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,848 : 811,988 = 811,988 : x
  2. Step 2: Convert to fraction form
    383,848/811,988 = 811,988/x
  3. Step 3: Cross multiply
    383,848x = 811,988 × 811,988
  4. Step 4: Simplify right side
    383,848x = 659,324,512,144
  5. Step 5: Solve for x
    x = 659,324,512,144/383,848
  6. Step 6: Final answer
    x = 1,717,670.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.