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Finding the Third Proportional to 180,216 and 396,405

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Solution

The third proportional to 180,216 and 396,405 is: 871,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,216 : 396,405 = 396,405 : x
  2. Step 2: Convert to fraction form
    180,216/396,405 = 396,405/x
  3. Step 3: Cross multiply
    180,216x = 396,405 × 396,405
  4. Step 4: Simplify right side
    180,216x = 157,136,924,025
  5. Step 5: Solve for x
    x = 157,136,924,025/180,216
  6. Step 6: Final answer
    x = 871,936.59

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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.