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Finding the Third Proportional to 198,100 and 427,004

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Solution

The third proportional to 198,100 and 427,004 is: 920,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,100 : 427,004 = 427,004 : x
  2. Step 2: Convert to fraction form
    198,100/427,004 = 427,004/x
  3. Step 3: Cross multiply
    198,100x = 427,004 × 427,004
  4. Step 4: Simplify right side
    198,100x = 182,332,416,016
  5. Step 5: Solve for x
    x = 182,332,416,016/198,100
  6. Step 6: Final answer
    x = 920,405.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.