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Finding the Third Proportional to 11,026 and 15,279

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Solution

The third proportional to 11,026 and 15,279 is: 21,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026 : 15,279 = 15,279 : x
  2. Step 2: Convert to fraction form
    11,026/15,279 = 15,279/x
  3. Step 3: Cross multiply
    11,026x = 15,279 × 15,279
  4. Step 4: Simplify right side
    11,026x = 233,447,841
  5. Step 5: Solve for x
    x = 233,447,841/11,026
  6. Step 6: Final answer
    x = 21,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.