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Finding the Third Proportional to 66,615 and 143,112

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Solution

The third proportional to 66,615 and 143,112 is: 307,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,615 : 143,112 = 143,112 : x
  2. Step 2: Convert to fraction form
    66,615/143,112 = 143,112/x
  3. Step 3: Cross multiply
    66,615x = 143,112 × 143,112
  4. Step 4: Simplify right side
    66,615x = 20,481,044,544
  5. Step 5: Solve for x
    x = 20,481,044,544/66,615
  6. Step 6: Final answer
    x = 307,453.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.