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Finding the Third Proportional to 227,682 and 489,807

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Solution

The third proportional to 227,682 and 489,807 is: 1,053,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,682 : 489,807 = 489,807 : x
  2. Step 2: Convert to fraction form
    227,682/489,807 = 489,807/x
  3. Step 3: Cross multiply
    227,682x = 489,807 × 489,807
  4. Step 4: Simplify right side
    227,682x = 239,910,897,249
  5. Step 5: Solve for x
    x = 239,910,897,249/227,682
  6. Step 6: Final answer
    x = 1,053,710.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.