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Finding the Third Proportional to 100,819 and 220,105

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Solution

The third proportional to 100,819 and 220,105 is: 480,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819 : 220,105 = 220,105 : x
  2. Step 2: Convert to fraction form
    100,819/220,105 = 220,105/x
  3. Step 3: Cross multiply
    100,819x = 220,105 × 220,105
  4. Step 4: Simplify right side
    100,819x = 48,446,211,025
  5. Step 5: Solve for x
    x = 48,446,211,025/100,819
  6. Step 6: Final answer
    x = 480,526.60

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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.