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Finding the Third Proportional to 189,192 and 407,912

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Solution

The third proportional to 189,192 and 407,912 is: 879,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192 : 407,912 = 407,912 : x
  2. Step 2: Convert to fraction form
    189,192/407,912 = 407,912/x
  3. Step 3: Cross multiply
    189,192x = 407,912 × 407,912
  4. Step 4: Simplify right side
    189,192x = 166,392,199,744
  5. Step 5: Solve for x
    x = 166,392,199,744/189,192
  6. Step 6: Final answer
    x = 879,488.56

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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.