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Finding the Third Proportional to 198,804.38 and 301,099.78

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Solution

The third proportional to 198,804.38 and 301,099.78 is: 456,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,804.38 : 301,099.78 = 301,099.78 : x
  2. Step 2: Convert to fraction form
    198,804.38/301,099.78 = 301,099.78/x
  3. Step 3: Cross multiply
    198,804.38x = 301,099.78 × 301,099.78
  4. Step 4: Simplify right side
    198,804.38x = 90,661,078,268.80
  5. Step 5: Solve for x
    x = 90,661,078,268.80/198,804.38
  6. Step 6: Final answer
    x = 456,031.61

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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.