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Finding the Third Proportional to 133,028 and 206,119

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Solution

The third proportional to 133,028 and 206,119 is: 319,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,028 : 206,119 = 206,119 : x
  2. Step 2: Convert to fraction form
    133,028/206,119 = 206,119/x
  3. Step 3: Cross multiply
    133,028x = 206,119 × 206,119
  4. Step 4: Simplify right side
    133,028x = 42,485,042,161
  5. Step 5: Solve for x
    x = 42,485,042,161/133,028
  6. Step 6: Final answer
    x = 319,369.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.