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Finding the Third Proportional to 189,890 and 405,196

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Solution

The third proportional to 189,890 and 405,196 is: 864,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,890 : 405,196 = 405,196 : x
  2. Step 2: Convert to fraction form
    189,890/405,196 = 405,196/x
  3. Step 3: Cross multiply
    189,890x = 405,196 × 405,196
  4. Step 4: Simplify right side
    189,890x = 164,183,798,416
  5. Step 5: Solve for x
    x = 164,183,798,416/189,890
  6. Step 6: Final answer
    x = 864,625.83

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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.