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Finding the Third Proportional to 221,964 and 489,172

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Solution

The third proportional to 221,964 and 489,172 is: 1,078,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964 : 489,172 = 489,172 : x
  2. Step 2: Convert to fraction form
    221,964/489,172 = 489,172/x
  3. Step 3: Cross multiply
    221,964x = 489,172 × 489,172
  4. Step 4: Simplify right side
    221,964x = 239,289,245,584
  5. Step 5: Solve for x
    x = 239,289,245,584/221,964
  6. Step 6: Final answer
    x = 1,078,054.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.