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Finding the Third Proportional to 189,392 and 414,208

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Solution

The third proportional to 189,392 and 414,208 is: 905,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392 : 414,208 = 414,208 : x
  2. Step 2: Convert to fraction form
    189,392/414,208 = 414,208/x
  3. Step 3: Cross multiply
    189,392x = 414,208 × 414,208
  4. Step 4: Simplify right side
    189,392x = 171,568,267,264
  5. Step 5: Solve for x
    x = 171,568,267,264/189,392
  6. Step 6: Final answer
    x = 905,889.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.