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Finding the Third Proportional to 189,764 and 407,668

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Solution

The third proportional to 189,764 and 407,668 is: 875,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,764 : 407,668 = 407,668 : x
  2. Step 2: Convert to fraction form
    189,764/407,668 = 407,668/x
  3. Step 3: Cross multiply
    189,764x = 407,668 × 407,668
  4. Step 4: Simplify right side
    189,764x = 166,193,198,224
  5. Step 5: Solve for x
    x = 166,193,198,224/189,764
  6. Step 6: Final answer
    x = 875,788.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.