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Finding the Third Proportional to 189,409 and 408,338

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Solution

The third proportional to 189,409 and 408,338 is: 880,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,409 : 408,338 = 408,338 : x
  2. Step 2: Convert to fraction form
    189,409/408,338 = 408,338/x
  3. Step 3: Cross multiply
    189,409x = 408,338 × 408,338
  4. Step 4: Simplify right side
    189,409x = 166,739,922,244
  5. Step 5: Solve for x
    x = 166,739,922,244/189,409
  6. Step 6: Final answer
    x = 880,316.79

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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.