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Finding the Third Proportional to 226,878 and 489,111

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Solution

The third proportional to 226,878 and 489,111 is: 1,054,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,878 : 489,111 = 489,111 : x
  2. Step 2: Convert to fraction form
    226,878/489,111 = 489,111/x
  3. Step 3: Cross multiply
    226,878x = 489,111 × 489,111
  4. Step 4: Simplify right side
    226,878x = 239,229,570,321
  5. Step 5: Solve for x
    x = 239,229,570,321/226,878
  6. Step 6: Final answer
    x = 1,054,441.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.