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Finding the Third Proportional to 189,084 and 398,823

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Solution

The third proportional to 189,084 and 398,823 is: 841,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084 : 398,823 = 398,823 : x
  2. Step 2: Convert to fraction form
    189,084/398,823 = 398,823/x
  3. Step 3: Cross multiply
    189,084x = 398,823 × 398,823
  4. Step 4: Simplify right side
    189,084x = 159,059,785,329
  5. Step 5: Solve for x
    x = 159,059,785,329/189,084
  6. Step 6: Final answer
    x = 841,212.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.