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Finding the Third Proportional to 13,755.50 and 30,140

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Solution

The third proportional to 13,755.50 and 30,140 is: 66,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.50 : 30,140 = 30,140 : x
  2. Step 2: Convert to fraction form
    13,755.50/30,140 = 30,140/x
  3. Step 3: Cross multiply
    13,755.50x = 30,140 × 30,140
  4. Step 4: Simplify right side
    13,755.50x = 908,419,600
  5. Step 5: Solve for x
    x = 908,419,600/13,755.50
  6. Step 6: Final answer
    x = 66,040.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.