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Finding the Third Proportional to 33,615 and 76,008.38

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Solution

The third proportional to 33,615 and 76,008.38 is: 171,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615 : 76,008.38 = 76,008.38 : x
  2. Step 2: Convert to fraction form
    33,615/76,008.38 = 76,008.38/x
  3. Step 3: Cross multiply
    33,615x = 76,008.38 × 76,008.38
  4. Step 4: Simplify right side
    33,615x = 5,777,273,070.14
  5. Step 5: Solve for x
    x = 5,777,273,070.14/33,615
  6. Step 6: Final answer
    x = 171,865.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.