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Finding the Third Proportional to 101,908 and 208,351

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Solution

The third proportional to 101,908 and 208,351 is: 425,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908 : 208,351 = 208,351 : x
  2. Step 2: Convert to fraction form
    101,908/208,351 = 208,351/x
  3. Step 3: Cross multiply
    101,908x = 208,351 × 208,351
  4. Step 4: Simplify right side
    101,908x = 43,410,139,201
  5. Step 5: Solve for x
    x = 43,410,139,201/101,908
  6. Step 6: Final answer
    x = 425,973.81

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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.