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Finding the Third Proportional to 121,183 and 201,267

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Solution

The third proportional to 121,183 and 201,267 is: 334,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,183 : 201,267 = 201,267 : x
  2. Step 2: Convert to fraction form
    121,183/201,267 = 201,267/x
  3. Step 3: Cross multiply
    121,183x = 201,267 × 201,267
  4. Step 4: Simplify right side
    121,183x = 40,508,405,289
  5. Step 5: Solve for x
    x = 40,508,405,289/121,183
  6. Step 6: Final answer
    x = 334,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.