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Finding the Third Proportional to 207,198 and 319,950

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Solution

The third proportional to 207,198 and 319,950 is: 494,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198 : 319,950 = 319,950 : x
  2. Step 2: Convert to fraction form
    207,198/319,950 = 319,950/x
  3. Step 3: Cross multiply
    207,198x = 319,950 × 319,950
  4. Step 4: Simplify right side
    207,198x = 102,368,002,500
  5. Step 5: Solve for x
    x = 102,368,002,500/207,198
  6. Step 6: Final answer
    x = 494,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.