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Finding the Third Proportional to 13,993.50 and 21,285

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Solution

The third proportional to 13,993.50 and 21,285 is: 32,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.50 : 21,285 = 21,285 : x
  2. Step 2: Convert to fraction form
    13,993.50/21,285 = 21,285/x
  3. Step 3: Cross multiply
    13,993.50x = 21,285 × 21,285
  4. Step 4: Simplify right side
    13,993.50x = 453,051,225
  5. Step 5: Solve for x
    x = 453,051,225/13,993.50
  6. Step 6: Final answer
    x = 32,375.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.