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Finding the Third Proportional to 199,939 and 301,974

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Solution

The third proportional to 199,939 and 301,974 is: 456,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,939 : 301,974 = 301,974 : x
  2. Step 2: Convert to fraction form
    199,939/301,974 = 301,974/x
  3. Step 3: Cross multiply
    199,939x = 301,974 × 301,974
  4. Step 4: Simplify right side
    199,939x = 91,188,296,676
  5. Step 5: Solve for x
    x = 91,188,296,676/199,939
  6. Step 6: Final answer
    x = 456,080.59

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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.