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Finding the Third Proportional to 100,311 and 222,765

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Solution

The third proportional to 100,311 and 222,765 is: 494,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311 : 222,765 = 222,765 : x
  2. Step 2: Convert to fraction form
    100,311/222,765 = 222,765/x
  3. Step 3: Cross multiply
    100,311x = 222,765 × 222,765
  4. Step 4: Simplify right side
    100,311x = 49,624,245,225
  5. Step 5: Solve for x
    x = 49,624,245,225/100,311
  6. Step 6: Final answer
    x = 494,703.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.