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Finding the Third Proportional to 100,120 and 215,696

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Solution

The third proportional to 100,120 and 215,696 is: 464,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,120 : 215,696 = 215,696 : x
  2. Step 2: Convert to fraction form
    100,120/215,696 = 215,696/x
  3. Step 3: Cross multiply
    100,120x = 215,696 × 215,696
  4. Step 4: Simplify right side
    100,120x = 46,524,764,416
  5. Step 5: Solve for x
    x = 46,524,764,416/100,120
  6. Step 6: Final answer
    x = 464,690.02

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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.