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Finding the Third Proportional to 102,836 and 208,536

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Solution

The third proportional to 102,836 and 208,536 is: 422,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,836 : 208,536 = 208,536 : x
  2. Step 2: Convert to fraction form
    102,836/208,536 = 208,536/x
  3. Step 3: Cross multiply
    102,836x = 208,536 × 208,536
  4. Step 4: Simplify right side
    102,836x = 43,487,263,296
  5. Step 5: Solve for x
    x = 43,487,263,296/102,836
  6. Step 6: Final answer
    x = 422,879.76

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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.