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Finding the Third Proportional to 198,120 and 427,824

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Solution

The third proportional to 198,120 and 427,824 is: 923,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,120 : 427,824 = 427,824 : x
  2. Step 2: Convert to fraction form
    198,120/427,824 = 427,824/x
  3. Step 3: Cross multiply
    198,120x = 427,824 × 427,824
  4. Step 4: Simplify right side
    198,120x = 183,033,374,976
  5. Step 5: Solve for x
    x = 183,033,374,976/198,120
  6. Step 6: Final answer
    x = 923,851.07

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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.