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Finding the Third Proportional to 149,217 and 210,936

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Solution

The third proportional to 149,217 and 210,936 is: 298,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,217 : 210,936 = 210,936 : x
  2. Step 2: Convert to fraction form
    149,217/210,936 = 210,936/x
  3. Step 3: Cross multiply
    149,217x = 210,936 × 210,936
  4. Step 4: Simplify right side
    149,217x = 44,493,996,096
  5. Step 5: Solve for x
    x = 44,493,996,096/149,217
  6. Step 6: Final answer
    x = 298,183.16

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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.