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Finding the Third Proportional to 213,198 and 330,165

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Solution

The third proportional to 213,198 and 330,165 is: 511,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198 : 330,165 = 330,165 : x
  2. Step 2: Convert to fraction form
    213,198/330,165 = 330,165/x
  3. Step 3: Cross multiply
    213,198x = 330,165 × 330,165
  4. Step 4: Simplify right side
    213,198x = 109,008,927,225
  5. Step 5: Solve for x
    x = 109,008,927,225/213,198
  6. Step 6: Final answer
    x = 511,303.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.