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Finding the Third Proportional to 209,120 and 445,212

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Solution

The third proportional to 209,120 and 445,212 is: 947,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,120 : 445,212 = 445,212 : x
  2. Step 2: Convert to fraction form
    209,120/445,212 = 445,212/x
  3. Step 3: Cross multiply
    209,120x = 445,212 × 445,212
  4. Step 4: Simplify right side
    209,120x = 198,213,724,944
  5. Step 5: Solve for x
    x = 198,213,724,944/209,120
  6. Step 6: Final answer
    x = 947,846.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.