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Finding the Third Proportional to 13,999.50 and 21,660.75

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Solution

The third proportional to 13,999.50 and 21,660.75 is: 33,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.50 : 21,660.75 = 21,660.75 : x
  2. Step 2: Convert to fraction form
    13,999.50/21,660.75 = 21,660.75/x
  3. Step 3: Cross multiply
    13,999.50x = 21,660.75 × 21,660.75
  4. Step 4: Simplify right side
    13,999.50x = 469,188,090.56
  5. Step 5: Solve for x
    x = 469,188,090.56/13,999.50
  6. Step 6: Final answer
    x = 33,514.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.