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Finding the Third Proportional to 13,614 and 32,992.50

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Solution

The third proportional to 13,614 and 32,992.50 is: 79,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614 : 32,992.50 = 32,992.50 : x
  2. Step 2: Convert to fraction form
    13,614/32,992.50 = 32,992.50/x
  3. Step 3: Cross multiply
    13,614x = 32,992.50 × 32,992.50
  4. Step 4: Simplify right side
    13,614x = 1,088,505,056.25
  5. Step 5: Solve for x
    x = 1,088,505,056.25/13,614
  6. Step 6: Final answer
    x = 79,954.83

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.