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Finding the Third Proportional to 102,816 and 208,494

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Solution

The third proportional to 102,816 and 208,494 is: 422,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816 : 208,494 = 208,494 : x
  2. Step 2: Convert to fraction form
    102,816/208,494 = 208,494/x
  3. Step 3: Cross multiply
    102,816x = 208,494 × 208,494
  4. Step 4: Simplify right side
    102,816x = 43,469,748,036
  5. Step 5: Solve for x
    x = 43,469,748,036/102,816
  6. Step 6: Final answer
    x = 422,791.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.