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Finding the Third Proportional to 223,848 and 489,168

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Solution

The third proportional to 223,848 and 489,168 is: 1,068,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,848 : 489,168 = 489,168 : x
  2. Step 2: Convert to fraction form
    223,848/489,168 = 489,168/x
  3. Step 3: Cross multiply
    223,848x = 489,168 × 489,168
  4. Step 4: Simplify right side
    223,848x = 239,285,332,224
  5. Step 5: Solve for x
    x = 239,285,332,224/223,848
  6. Step 6: Final answer
    x = 1,068,963.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.