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Finding the Third Proportional to 13,361.20 and 21,015.70

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Solution

The third proportional to 13,361.20 and 21,015.70 is: 33,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.20 : 21,015.70 = 21,015.70 : x
  2. Step 2: Convert to fraction form
    13,361.20/21,015.70 = 21,015.70/x
  3. Step 3: Cross multiply
    13,361.20x = 21,015.70 × 21,015.70
  4. Step 4: Simplify right side
    13,361.20x = 441,659,777.84
  5. Step 5: Solve for x
    x = 441,659,777.84/13,361.20
  6. Step 6: Final answer
    x = 33,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.