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Finding the Third Proportional to 197,687 and 431,167

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Solution

The third proportional to 197,687 and 431,167 is: 940,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,687 : 431,167 = 431,167 : x
  2. Step 2: Convert to fraction form
    197,687/431,167 = 431,167/x
  3. Step 3: Cross multiply
    197,687x = 431,167 × 431,167
  4. Step 4: Simplify right side
    197,687x = 185,904,981,889
  5. Step 5: Solve for x
    x = 185,904,981,889/197,687
  6. Step 6: Final answer
    x = 940,400.64

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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.