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Finding the Third Proportional to 212,238.56 and 321,090.75

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Solution

The third proportional to 212,238.56 and 321,090.75 is: 485,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,238.56 : 321,090.75 = 321,090.75 : x
  2. Step 2: Convert to fraction form
    212,238.56/321,090.75 = 321,090.75/x
  3. Step 3: Cross multiply
    212,238.56x = 321,090.75 × 321,090.75
  4. Step 4: Simplify right side
    212,238.56x = 103,099,269,735.56
  5. Step 5: Solve for x
    x = 103,099,269,735.56/212,238.56
  6. Step 6: Final answer
    x = 485,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.