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Finding the Third Proportional to 198,686 and 431,010

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Solution

The third proportional to 198,686 and 431,010 is: 934,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,686 : 431,010 = 431,010 : x
  2. Step 2: Convert to fraction form
    198,686/431,010 = 431,010/x
  3. Step 3: Cross multiply
    198,686x = 431,010 × 431,010
  4. Step 4: Simplify right side
    198,686x = 185,769,620,100
  5. Step 5: Solve for x
    x = 185,769,620,100/198,686
  6. Step 6: Final answer
    x = 934,990.99

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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.