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Finding the Third Proportional to 198,608 and 299,768

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Solution

The third proportional to 198,608 and 299,768 is: 452,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608 : 299,768 = 299,768 : x
  2. Step 2: Convert to fraction form
    198,608/299,768 = 299,768/x
  3. Step 3: Cross multiply
    198,608x = 299,768 × 299,768
  4. Step 4: Simplify right side
    198,608x = 89,860,853,824
  5. Step 5: Solve for x
    x = 89,860,853,824/198,608
  6. Step 6: Final answer
    x = 452,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.