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Finding the Third Proportional to 198,651 and 431,165

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Solution

The third proportional to 198,651 and 431,165 is: 935,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651 : 431,165 = 431,165 : x
  2. Step 2: Convert to fraction form
    198,651/431,165 = 431,165/x
  3. Step 3: Cross multiply
    198,651x = 431,165 × 431,165
  4. Step 4: Simplify right side
    198,651x = 185,903,257,225
  5. Step 5: Solve for x
    x = 185,903,257,225/198,651
  6. Step 6: Final answer
    x = 935,828.45

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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.