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Finding the Third Proportional to 12,286 and 19,485

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Solution

The third proportional to 12,286 and 19,485 is: 30,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 19,485 = 19,485 : x
  2. Step 2: Convert to fraction form
    12,286/19,485 = 19,485/x
  3. Step 3: Cross multiply
    12,286x = 19,485 × 19,485
  4. Step 4: Simplify right side
    12,286x = 379,665,225
  5. Step 5: Solve for x
    x = 379,665,225/12,286
  6. Step 6: Final answer
    x = 30,902.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.