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Finding the Third Proportional to 100,763 and 219,947

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Solution

The third proportional to 100,763 and 219,947 is: 480,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,763 : 219,947 = 219,947 : x
  2. Step 2: Convert to fraction form
    100,763/219,947 = 219,947/x
  3. Step 3: Cross multiply
    100,763x = 219,947 × 219,947
  4. Step 4: Simplify right side
    100,763x = 48,376,682,809
  5. Step 5: Solve for x
    x = 48,376,682,809/100,763
  6. Step 6: Final answer
    x = 480,103.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.