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Finding the Third Proportional to 13,943 and 30,075

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Solution

The third proportional to 13,943 and 30,075 is: 64,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943 : 30,075 = 30,075 : x
  2. Step 2: Convert to fraction form
    13,943/30,075 = 30,075/x
  3. Step 3: Cross multiply
    13,943x = 30,075 × 30,075
  4. Step 4: Simplify right side
    13,943x = 904,505,625
  5. Step 5: Solve for x
    x = 904,505,625/13,943
  6. Step 6: Final answer
    x = 64,871.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.