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Finding the Third Proportional to 198,690 and 431,018

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Solution

The third proportional to 198,690 and 431,018 is: 935,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690 : 431,018 = 431,018 : x
  2. Step 2: Convert to fraction form
    198,690/431,018 = 431,018/x
  3. Step 3: Cross multiply
    198,690x = 431,018 × 431,018
  4. Step 4: Simplify right side
    198,690x = 185,776,516,324
  5. Step 5: Solve for x
    x = 185,776,516,324/198,690
  6. Step 6: Final answer
    x = 935,006.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.