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Finding the Third Proportional to 135,227 and 210,211

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Solution

The third proportional to 135,227 and 210,211 is: 326,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,227 : 210,211 = 210,211 : x
  2. Step 2: Convert to fraction form
    135,227/210,211 = 210,211/x
  3. Step 3: Cross multiply
    135,227x = 210,211 × 210,211
  4. Step 4: Simplify right side
    135,227x = 44,188,664,521
  5. Step 5: Solve for x
    x = 44,188,664,521/135,227
  6. Step 6: Final answer
    x = 326,773.98

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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.