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Finding the Third Proportional to 238,980 and 489,029

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Solution

The third proportional to 238,980 and 489,029 is: 1,000,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,980 : 489,029 = 489,029 : x
  2. Step 2: Convert to fraction form
    238,980/489,029 = 489,029/x
  3. Step 3: Cross multiply
    238,980x = 489,029 × 489,029
  4. Step 4: Simplify right side
    238,980x = 239,149,362,841
  5. Step 5: Solve for x
    x = 239,149,362,841/238,980
  6. Step 6: Final answer
    x = 1,000,708.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.