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Finding the Third Proportional to 200,187 and 439,749

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Solution

The third proportional to 200,187 and 439,749 is: 965,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,187 : 439,749 = 439,749 : x
  2. Step 2: Convert to fraction form
    200,187/439,749 = 439,749/x
  3. Step 3: Cross multiply
    200,187x = 439,749 × 439,749
  4. Step 4: Simplify right side
    200,187x = 193,379,183,001
  5. Step 5: Solve for x
    x = 193,379,183,001/200,187
  6. Step 6: Final answer
    x = 965,992.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.