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Finding the Third Proportional to 189,690 and 408,936

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Solution

The third proportional to 189,690 and 408,936 is: 881,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,690 : 408,936 = 408,936 : x
  2. Step 2: Convert to fraction form
    189,690/408,936 = 408,936/x
  3. Step 3: Cross multiply
    189,690x = 408,936 × 408,936
  4. Step 4: Simplify right side
    189,690x = 167,228,652,096
  5. Step 5: Solve for x
    x = 167,228,652,096/189,690
  6. Step 6: Final answer
    x = 881,589.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.