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Finding the Third Proportional to 188,908.45 and 399,138.47

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Solution

The third proportional to 188,908.45 and 399,138.47 is: 843,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,908.45 : 399,138.47 = 399,138.47 : x
  2. Step 2: Convert to fraction form
    188,908.45/399,138.47 = 399,138.47/x
  3. Step 3: Cross multiply
    188,908.45x = 399,138.47 × 399,138.47
  4. Step 4: Simplify right side
    188,908.45x = 159,311,517,236.10
  5. Step 5: Solve for x
    x = 159,311,517,236.10/188,908.45
  6. Step 6: Final answer
    x = 843,326.57

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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.