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Finding the Third Proportional to 13,344 and 21,495.50

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Solution

The third proportional to 13,344 and 21,495.50 is: 34,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 21,495.50 = 21,495.50 : x
  2. Step 2: Convert to fraction form
    13,344/21,495.50 = 21,495.50/x
  3. Step 3: Cross multiply
    13,344x = 21,495.50 × 21,495.50
  4. Step 4: Simplify right side
    13,344x = 462,056,520.25
  5. Step 5: Solve for x
    x = 462,056,520.25/13,344
  6. Step 6: Final answer
    x = 34,626.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.