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Finding the Third Proportional to 13,068 and 19,662.75

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Solution

The third proportional to 13,068 and 19,662.75 is: 29,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 19,662.75 = 19,662.75 : x
  2. Step 2: Convert to fraction form
    13,068/19,662.75 = 19,662.75/x
  3. Step 3: Cross multiply
    13,068x = 19,662.75 × 19,662.75
  4. Step 4: Simplify right side
    13,068x = 386,623,737.56
  5. Step 5: Solve for x
    x = 386,623,737.56/13,068
  6. Step 6: Final answer
    x = 29,585.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.