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Finding the Third Proportional to 189,982 and 405,390

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Solution

The third proportional to 189,982 and 405,390 is: 865,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,982 : 405,390 = 405,390 : x
  2. Step 2: Convert to fraction form
    189,982/405,390 = 405,390/x
  3. Step 3: Cross multiply
    189,982x = 405,390 × 405,390
  4. Step 4: Simplify right side
    189,982x = 164,341,052,100
  5. Step 5: Solve for x
    x = 164,341,052,100/189,982
  6. Step 6: Final answer
    x = 865,034.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.