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Finding the Third Proportional to 66,375.75 and 144,414.38

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Solution

The third proportional to 66,375.75 and 144,414.38 is: 314,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,375.75 : 144,414.38 = 144,414.38 : x
  2. Step 2: Convert to fraction form
    66,375.75/144,414.38 = 144,414.38/x
  3. Step 3: Cross multiply
    66,375.75x = 144,414.38 × 144,414.38
  4. Step 4: Simplify right side
    66,375.75x = 20,855,511,706.64
  5. Step 5: Solve for x
    x = 20,855,511,706.64/66,375.75
  6. Step 6: Final answer
    x = 314,203.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.