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Finding the Third Proportional to 280,504 and 383,228

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Solution

The third proportional to 280,504 and 383,228 is: 523,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,504 : 383,228 = 383,228 : x
  2. Step 2: Convert to fraction form
    280,504/383,228 = 383,228/x
  3. Step 3: Cross multiply
    280,504x = 383,228 × 383,228
  4. Step 4: Simplify right side
    280,504x = 146,863,699,984
  5. Step 5: Solve for x
    x = 146,863,699,984/280,504
  6. Step 6: Final answer
    x = 523,570.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.