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Finding the Third Proportional to 179,287 and 386,238

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Solution

The third proportional to 179,287 and 386,238 is: 832,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,287 : 386,238 = 386,238 : x
  2. Step 2: Convert to fraction form
    179,287/386,238 = 386,238/x
  3. Step 3: Cross multiply
    179,287x = 386,238 × 386,238
  4. Step 4: Simplify right side
    179,287x = 149,179,792,644
  5. Step 5: Solve for x
    x = 149,179,792,644/179,287
  6. Step 6: Final answer
    x = 832,072.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.