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Finding the Third Proportional to 66,525 and 143,601

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Solution

The third proportional to 66,525 and 143,601 is: 309,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,525 : 143,601 = 143,601 : x
  2. Step 2: Convert to fraction form
    66,525/143,601 = 143,601/x
  3. Step 3: Cross multiply
    66,525x = 143,601 × 143,601
  4. Step 4: Simplify right side
    66,525x = 20,621,247,201
  5. Step 5: Solve for x
    x = 20,621,247,201/66,525
  6. Step 6: Final answer
    x = 309,977.41

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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.