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Finding the Third Proportional to 13,991 and 21,121.25

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Solution

The third proportional to 13,991 and 21,121.25 is: 31,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991 : 21,121.25 = 21,121.25 : x
  2. Step 2: Convert to fraction form
    13,991/21,121.25 = 21,121.25/x
  3. Step 3: Cross multiply
    13,991x = 21,121.25 × 21,121.25
  4. Step 4: Simplify right side
    13,991x = 446,107,201.56
  5. Step 5: Solve for x
    x = 446,107,201.56/13,991
  6. Step 6: Final answer
    x = 31,885.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.