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Finding the Third Proportional to 13,986 and 19,563.75

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Solution

The third proportional to 13,986 and 19,563.75 is: 27,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 19,563.75 = 19,563.75 : x
  2. Step 2: Convert to fraction form
    13,986/19,563.75 = 19,563.75/x
  3. Step 3: Cross multiply
    13,986x = 19,563.75 × 19,563.75
  4. Step 4: Simplify right side
    13,986x = 382,740,314.06
  5. Step 5: Solve for x
    x = 382,740,314.06/13,986
  6. Step 6: Final answer
    x = 27,365.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.