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Finding the Third Proportional to 180,214 and 396,400

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Solution

The third proportional to 180,214 and 396,400 is: 871,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,214 : 396,400 = 396,400 : x
  2. Step 2: Convert to fraction form
    180,214/396,400 = 396,400/x
  3. Step 3: Cross multiply
    180,214x = 396,400 × 396,400
  4. Step 4: Simplify right side
    180,214x = 157,132,960,000
  5. Step 5: Solve for x
    x = 157,132,960,000/180,214
  6. Step 6: Final answer
    x = 871,924.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.