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Finding the Third Proportional to 13,620 and 18,754.50

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Solution

The third proportional to 13,620 and 18,754.50 is: 25,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620 : 18,754.50 = 18,754.50 : x
  2. Step 2: Convert to fraction form
    13,620/18,754.50 = 18,754.50/x
  3. Step 3: Cross multiply
    13,620x = 18,754.50 × 18,754.50
  4. Step 4: Simplify right side
    13,620x = 351,731,270.25
  5. Step 5: Solve for x
    x = 351,731,270.25/13,620
  6. Step 6: Final answer
    x = 25,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.