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Finding the Third Proportional to 131,162 and 198,303

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Solution

The third proportional to 131,162 and 198,303 is: 299,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,162 : 198,303 = 198,303 : x
  2. Step 2: Convert to fraction form
    131,162/198,303 = 198,303/x
  3. Step 3: Cross multiply
    131,162x = 198,303 × 198,303
  4. Step 4: Simplify right side
    131,162x = 39,324,079,809
  5. Step 5: Solve for x
    x = 39,324,079,809/131,162
  6. Step 6: Final answer
    x = 299,813.05

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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.