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Finding the Third Proportional to 138,326 and 323,927

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Solution

The third proportional to 138,326 and 323,927 is: 758,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,326 : 323,927 = 323,927 : x
  2. Step 2: Convert to fraction form
    138,326/323,927 = 323,927/x
  3. Step 3: Cross multiply
    138,326x = 323,927 × 323,927
  4. Step 4: Simplify right side
    138,326x = 104,928,701,329
  5. Step 5: Solve for x
    x = 104,928,701,329/138,326
  6. Step 6: Final answer
    x = 758,560.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.