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Finding the Third Proportional to 13,137 and 17,245

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Solution

The third proportional to 13,137 and 17,245 is: 22,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 17,245 = 17,245 : x
  2. Step 2: Convert to fraction form
    13,137/17,245 = 17,245/x
  3. Step 3: Cross multiply
    13,137x = 17,245 × 17,245
  4. Step 4: Simplify right side
    13,137x = 297,390,025
  5. Step 5: Solve for x
    x = 297,390,025/13,137
  6. Step 6: Final answer
    x = 22,637.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.