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Finding the Third Proportional to 198,698 and 430,546

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Solution

The third proportional to 198,698 and 430,546 is: 932,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,698 : 430,546 = 430,546 : x
  2. Step 2: Convert to fraction form
    198,698/430,546 = 430,546/x
  3. Step 3: Cross multiply
    198,698x = 430,546 × 430,546
  4. Step 4: Simplify right side
    198,698x = 185,369,858,116
  5. Step 5: Solve for x
    x = 185,369,858,116/198,698
  6. Step 6: Final answer
    x = 932,922.62

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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.