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Finding the Third Proportional to 198,129 and 431,610

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Solution

The third proportional to 198,129 and 431,610 is: 940,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,129 : 431,610 = 431,610 : x
  2. Step 2: Convert to fraction form
    198,129/431,610 = 431,610/x
  3. Step 3: Cross multiply
    198,129x = 431,610 × 431,610
  4. Step 4: Simplify right side
    198,129x = 186,287,192,100
  5. Step 5: Solve for x
    x = 186,287,192,100/198,129
  6. Step 6: Final answer
    x = 940,231.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.