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Finding the Third Proportional to 188,889 and 408,225

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Solution

The third proportional to 188,889 and 408,225 is: 882,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889 : 408,225 = 408,225 : x
  2. Step 2: Convert to fraction form
    188,889/408,225 = 408,225/x
  3. Step 3: Cross multiply
    188,889x = 408,225 × 408,225
  4. Step 4: Simplify right side
    188,889x = 166,647,650,625
  5. Step 5: Solve for x
    x = 166,647,650,625/188,889
  6. Step 6: Final answer
    x = 882,251.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.