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Finding the Third Proportional to 189,508 and 398,672

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Solution

The third proportional to 189,508 and 398,672 is: 838,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508 : 398,672 = 398,672 : x
  2. Step 2: Convert to fraction form
    189,508/398,672 = 398,672/x
  3. Step 3: Cross multiply
    189,508x = 398,672 × 398,672
  4. Step 4: Simplify right side
    189,508x = 158,939,363,584
  5. Step 5: Solve for x
    x = 158,939,363,584/189,508
  6. Step 6: Final answer
    x = 838,694.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.