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Finding the Third Proportional to 188,914 and 399,149

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Solution

The third proportional to 188,914 and 399,149 is: 843,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,914 : 399,149 = 399,149 : x
  2. Step 2: Convert to fraction form
    188,914/399,149 = 399,149/x
  3. Step 3: Cross multiply
    188,914x = 399,149 × 399,149
  4. Step 4: Simplify right side
    188,914x = 159,319,924,201
  5. Step 5: Solve for x
    x = 159,319,924,201/188,914
  6. Step 6: Final answer
    x = 843,346.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.