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Finding the Third Proportional to 189,223 and 407,821

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Solution

The third proportional to 189,223 and 407,821 is: 878,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,223 : 407,821 = 407,821 : x
  2. Step 2: Convert to fraction form
    189,223/407,821 = 407,821/x
  3. Step 3: Cross multiply
    189,223x = 407,821 × 407,821
  4. Step 4: Simplify right side
    189,223x = 166,317,968,041
  5. Step 5: Solve for x
    x = 166,317,968,041/189,223
  6. Step 6: Final answer
    x = 878,952.18

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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.