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Finding the Third Proportional to 198,684 and 431,006

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Solution

The third proportional to 198,684 and 431,006 is: 934,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,684 : 431,006 = 431,006 : x
  2. Step 2: Convert to fraction form
    198,684/431,006 = 431,006/x
  3. Step 3: Cross multiply
    198,684x = 431,006 × 431,006
  4. Step 4: Simplify right side
    198,684x = 185,766,172,036
  5. Step 5: Solve for x
    x = 185,766,172,036/198,684
  6. Step 6: Final answer
    x = 934,983.05

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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.