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Finding the Third Proportional to 149,975 and 212,211

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Solution

The third proportional to 149,975 and 212,211 is: 300,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,975 : 212,211 = 212,211 : x
  2. Step 2: Convert to fraction form
    149,975/212,211 = 212,211/x
  3. Step 3: Cross multiply
    149,975x = 212,211 × 212,211
  4. Step 4: Simplify right side
    149,975x = 45,033,508,521
  5. Step 5: Solve for x
    x = 45,033,508,521/149,975
  6. Step 6: Final answer
    x = 300,273.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.