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Finding the Third Proportional to 13,885.50 and 30,540

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Solution

The third proportional to 13,885.50 and 30,540 is: 67,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.50 : 30,540 = 30,540 : x
  2. Step 2: Convert to fraction form
    13,885.50/30,540 = 30,540/x
  3. Step 3: Cross multiply
    13,885.50x = 30,540 × 30,540
  4. Step 4: Simplify right side
    13,885.50x = 932,691,600
  5. Step 5: Solve for x
    x = 932,691,600/13,885.50
  6. Step 6: Final answer
    x = 67,170.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.