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Finding the Third Proportional to 356,771 and 489,234

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Solution

The third proportional to 356,771 and 489,234 is: 670,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,771 : 489,234 = 489,234 : x
  2. Step 2: Convert to fraction form
    356,771/489,234 = 489,234/x
  3. Step 3: Cross multiply
    356,771x = 489,234 × 489,234
  4. Step 4: Simplify right side
    356,771x = 239,349,906,756
  5. Step 5: Solve for x
    x = 239,349,906,756/356,771
  6. Step 6: Final answer
    x = 670,878.26

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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.