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Finding the Third Proportional to 212,469 and 489,306

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Solution

The third proportional to 212,469 and 489,306 is: 1,126,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,469 : 489,306 = 489,306 : x
  2. Step 2: Convert to fraction form
    212,469/489,306 = 489,306/x
  3. Step 3: Cross multiply
    212,469x = 489,306 × 489,306
  4. Step 4: Simplify right side
    212,469x = 239,420,361,636
  5. Step 5: Solve for x
    x = 239,420,361,636/212,469
  6. Step 6: Final answer
    x = 1,126,848.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.