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Finding the Third Proportional to 281,800 and 412,328

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Solution

The third proportional to 281,800 and 412,328 is: 603,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,800 : 412,328 = 412,328 : x
  2. Step 2: Convert to fraction form
    281,800/412,328 = 412,328/x
  3. Step 3: Cross multiply
    281,800x = 412,328 × 412,328
  4. Step 4: Simplify right side
    281,800x = 170,014,379,584
  5. Step 5: Solve for x
    x = 170,014,379,584/281,800
  6. Step 6: Final answer
    x = 603,315.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.