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Finding the Third Proportional to 13,878 and 30,523.92

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Solution

The third proportional to 13,878 and 30,523.92 is: 67,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 30,523.92 = 30,523.92 : x
  2. Step 2: Convert to fraction form
    13,878/30,523.92 = 30,523.92/x
  3. Step 3: Cross multiply
    13,878x = 30,523.92 × 30,523.92
  4. Step 4: Simplify right side
    13,878x = 931,709,806.63
  5. Step 5: Solve for x
    x = 931,709,806.63/13,878
  6. Step 6: Final answer
    x = 67,135.74

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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.