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Finding the Third Proportional to 93,198.50 and 199,458

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Solution

The third proportional to 93,198.50 and 199,458 is: 426,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,198.50 : 199,458 = 199,458 : x
  2. Step 2: Convert to fraction form
    93,198.50/199,458 = 199,458/x
  3. Step 3: Cross multiply
    93,198.50x = 199,458 × 199,458
  4. Step 4: Simplify right side
    93,198.50x = 39,783,493,764
  5. Step 5: Solve for x
    x = 39,783,493,764/93,198.50
  6. Step 6: Final answer
    x = 426,868.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.