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Finding the Third Proportional to 200,530 and 431,191

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Solution

The third proportional to 200,530 and 431,191 is: 927,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530 : 431,191 = 431,191 : x
  2. Step 2: Convert to fraction form
    200,530/431,191 = 431,191/x
  3. Step 3: Cross multiply
    200,530x = 431,191 × 431,191
  4. Step 4: Simplify right side
    200,530x = 185,925,678,481
  5. Step 5: Solve for x
    x = 185,925,678,481/200,530
  6. Step 6: Final answer
    x = 927,171.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.