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Finding the Third Proportional to 102,238 and 208,649

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Solution

The third proportional to 102,238 and 208,649 is: 425,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238 : 208,649 = 208,649 : x
  2. Step 2: Convert to fraction form
    102,238/208,649 = 208,649/x
  3. Step 3: Cross multiply
    102,238x = 208,649 × 208,649
  4. Step 4: Simplify right side
    102,238x = 43,534,405,201
  5. Step 5: Solve for x
    x = 43,534,405,201/102,238
  6. Step 6: Final answer
    x = 425,814.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.