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Finding the Third Proportional to 227,718 and 340,305

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Solution

The third proportional to 227,718 and 340,305 is: 508,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,718 : 340,305 = 340,305 : x
  2. Step 2: Convert to fraction form
    227,718/340,305 = 340,305/x
  3. Step 3: Cross multiply
    227,718x = 340,305 × 340,305
  4. Step 4: Simplify right side
    227,718x = 115,807,493,025
  5. Step 5: Solve for x
    x = 115,807,493,025/227,718
  6. Step 6: Final answer
    x = 508,556.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.