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Finding the Third Proportional to 30,198 and 65,247

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Solution

The third proportional to 30,198 and 65,247 is: 140,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 65,247 = 65,247 : x
  2. Step 2: Convert to fraction form
    30,198/65,247 = 65,247/x
  3. Step 3: Cross multiply
    30,198x = 65,247 × 65,247
  4. Step 4: Simplify right side
    30,198x = 4,257,171,009
  5. Step 5: Solve for x
    x = 4,257,171,009/30,198
  6. Step 6: Final answer
    x = 140,975.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.