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Finding the Third Proportional to 12,138 and 17,487

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Solution

The third proportional to 12,138 and 17,487 is: 25,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 17,487 = 17,487 : x
  2. Step 2: Convert to fraction form
    12,138/17,487 = 17,487/x
  3. Step 3: Cross multiply
    12,138x = 17,487 × 17,487
  4. Step 4: Simplify right side
    12,138x = 305,795,169
  5. Step 5: Solve for x
    x = 305,795,169/12,138
  6. Step 6: Final answer
    x = 25,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.