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Finding the Third Proportional to 13,889.25 and 30,546

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Solution

The third proportional to 13,889.25 and 30,546 is: 67,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.25 : 30,546 = 30,546 : x
  2. Step 2: Convert to fraction form
    13,889.25/30,546 = 30,546/x
  3. Step 3: Cross multiply
    13,889.25x = 30,546 × 30,546
  4. Step 4: Simplify right side
    13,889.25x = 933,058,116
  5. Step 5: Solve for x
    x = 933,058,116/13,889.25
  6. Step 6: Final answer
    x = 67,178.44

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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.