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Finding the Third Proportional to 13,517.63 and 31,113.75

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Solution

The third proportional to 13,517.63 and 31,113.75 is: 71,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.63 : 31,113.75 = 31,113.75 : x
  2. Step 2: Convert to fraction form
    13,517.63/31,113.75 = 31,113.75/x
  3. Step 3: Cross multiply
    13,517.63x = 31,113.75 × 31,113.75
  4. Step 4: Simplify right side
    13,517.63x = 968,065,439.06
  5. Step 5: Solve for x
    x = 968,065,439.06/13,517.63
  6. Step 6: Final answer
    x = 71,615.05

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.