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Finding the Third Proportional to 102,727 and 208,279

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Solution

The third proportional to 102,727 and 208,279 is: 422,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,727 : 208,279 = 208,279 : x
  2. Step 2: Convert to fraction form
    102,727/208,279 = 208,279/x
  3. Step 3: Cross multiply
    102,727x = 208,279 × 208,279
  4. Step 4: Simplify right side
    102,727x = 43,380,141,841
  5. Step 5: Solve for x
    x = 43,380,141,841/102,727
  6. Step 6: Final answer
    x = 422,285.69

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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.