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Finding the Third Proportional to 12,309 and 27,257

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Solution

The third proportional to 12,309 and 27,257 is: 60,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309 : 27,257 = 27,257 : x
  2. Step 2: Convert to fraction form
    12,309/27,257 = 27,257/x
  3. Step 3: Cross multiply
    12,309x = 27,257 × 27,257
  4. Step 4: Simplify right side
    12,309x = 742,944,049
  5. Step 5: Solve for x
    x = 742,944,049/12,309
  6. Step 6: Final answer
    x = 60,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.