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Finding the Third Proportional to 133,864 and 215,268

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Solution

The third proportional to 133,864 and 215,268 is: 346,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864 : 215,268 = 215,268 : x
  2. Step 2: Convert to fraction form
    133,864/215,268 = 215,268/x
  3. Step 3: Cross multiply
    133,864x = 215,268 × 215,268
  4. Step 4: Simplify right side
    133,864x = 46,340,311,824
  5. Step 5: Solve for x
    x = 46,340,311,824/133,864
  6. Step 6: Final answer
    x = 346,174.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.