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Finding the Third Proportional to 100,226 and 215,956

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Solution

The third proportional to 100,226 and 215,956 is: 465,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226 : 215,956 = 215,956 : x
  2. Step 2: Convert to fraction form
    100,226/215,956 = 215,956/x
  3. Step 3: Cross multiply
    100,226x = 215,956 × 215,956
  4. Step 4: Simplify right side
    100,226x = 46,636,993,936
  5. Step 5: Solve for x
    x = 46,636,993,936/100,226
  6. Step 6: Final answer
    x = 465,318.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.