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Finding the Third Proportional to 198,751 and 408,026

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Solution

The third proportional to 198,751 and 408,026 is: 837,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,751 : 408,026 = 408,026 : x
  2. Step 2: Convert to fraction form
    198,751/408,026 = 408,026/x
  3. Step 3: Cross multiply
    198,751x = 408,026 × 408,026
  4. Step 4: Simplify right side
    198,751x = 166,485,216,676
  5. Step 5: Solve for x
    x = 166,485,216,676/198,751
  6. Step 6: Final answer
    x = 837,657.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.