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Finding the Third Proportional to 13,786.50 and 30,273

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Solution

The third proportional to 13,786.50 and 30,273 is: 66,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.50 : 30,273 = 30,273 : x
  2. Step 2: Convert to fraction form
    13,786.50/30,273 = 30,273/x
  3. Step 3: Cross multiply
    13,786.50x = 30,273 × 30,273
  4. Step 4: Simplify right side
    13,786.50x = 916,454,529
  5. Step 5: Solve for x
    x = 916,454,529/13,786.50
  6. Step 6: Final answer
    x = 66,474.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.