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Finding the Third Proportional to 280,496 and 383,218

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Solution

The third proportional to 280,496 and 383,218 is: 523,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,496 : 383,218 = 383,218 : x
  2. Step 2: Convert to fraction form
    280,496/383,218 = 383,218/x
  3. Step 3: Cross multiply
    280,496x = 383,218 × 383,218
  4. Step 4: Simplify right side
    280,496x = 146,856,035,524
  5. Step 5: Solve for x
    x = 146,856,035,524/280,496
  6. Step 6: Final answer
    x = 523,558.39

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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.