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Finding the Third Proportional to 198,084 and 426,969

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Solution

The third proportional to 198,084 and 426,969 is: 920,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,084 : 426,969 = 426,969 : x
  2. Step 2: Convert to fraction form
    198,084/426,969 = 426,969/x
  3. Step 3: Cross multiply
    198,084x = 426,969 × 426,969
  4. Step 4: Simplify right side
    198,084x = 182,302,526,961
  5. Step 5: Solve for x
    x = 182,302,526,961/198,084
  6. Step 6: Final answer
    x = 920,329.39

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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.