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Finding the Third Proportional to 198,900 and 414,484

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Solution

The third proportional to 198,900 and 414,484 is: 863,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,900 : 414,484 = 414,484 : x
  2. Step 2: Convert to fraction form
    198,900/414,484 = 414,484/x
  3. Step 3: Cross multiply
    198,900x = 414,484 × 414,484
  4. Step 4: Simplify right side
    198,900x = 171,796,986,256
  5. Step 5: Solve for x
    x = 171,796,986,256/198,900
  6. Step 6: Final answer
    x = 863,735.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.