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Finding the Third Proportional to 12,728 and 27,013

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Solution

The third proportional to 12,728 and 27,013 is: 57,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728 : 27,013 = 27,013 : x
  2. Step 2: Convert to fraction form
    12,728/27,013 = 27,013/x
  3. Step 3: Cross multiply
    12,728x = 27,013 × 27,013
  4. Step 4: Simplify right side
    12,728x = 729,702,169
  5. Step 5: Solve for x
    x = 729,702,169/12,728
  6. Step 6: Final answer
    x = 57,330.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.