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Finding the Third Proportional to 198,682 and 431,002

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Solution

The third proportional to 198,682 and 431,002 is: 934,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,682 : 431,002 = 431,002 : x
  2. Step 2: Convert to fraction form
    198,682/431,002 = 431,002/x
  3. Step 3: Cross multiply
    198,682x = 431,002 × 431,002
  4. Step 4: Simplify right side
    198,682x = 185,762,724,004
  5. Step 5: Solve for x
    x = 185,762,724,004/198,682
  6. Step 6: Final answer
    x = 934,975.11

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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.