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Finding the Third Proportional to 189,898 and 405,212

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Solution

The third proportional to 189,898 and 405,212 is: 864,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898 : 405,212 = 405,212 : x
  2. Step 2: Convert to fraction form
    189,898/405,212 = 405,212/x
  3. Step 3: Cross multiply
    189,898x = 405,212 × 405,212
  4. Step 4: Simplify right side
    189,898x = 164,196,764,944
  5. Step 5: Solve for x
    x = 164,196,764,944/189,898
  6. Step 6: Final answer
    x = 864,657.68

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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.