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Finding the Third Proportional to 198,120 and 415,824

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Solution

The third proportional to 198,120 and 415,824 is: 872,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,120 : 415,824 = 415,824 : x
  2. Step 2: Convert to fraction form
    198,120/415,824 = 415,824/x
  3. Step 3: Cross multiply
    198,120x = 415,824 × 415,824
  4. Step 4: Simplify right side
    198,120x = 172,909,598,976
  5. Step 5: Solve for x
    x = 172,909,598,976/198,120
  6. Step 6: Final answer
    x = 872,751.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.