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Finding the Third Proportional to 133,086 and 205,137

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Solution

The third proportional to 133,086 and 205,137 is: 316,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 205,137 = 205,137 : x
  2. Step 2: Convert to fraction form
    133,086/205,137 = 205,137/x
  3. Step 3: Cross multiply
    133,086x = 205,137 × 205,137
  4. Step 4: Simplify right side
    133,086x = 42,081,188,769
  5. Step 5: Solve for x
    x = 42,081,188,769/133,086
  6. Step 6: Final answer
    x = 316,195.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.