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Finding the Third Proportional to 33,573 and 73,139

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Solution

The third proportional to 33,573 and 73,139 is: 159,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573 : 73,139 = 73,139 : x
  2. Step 2: Convert to fraction form
    33,573/73,139 = 73,139/x
  3. Step 3: Cross multiply
    33,573x = 73,139 × 73,139
  4. Step 4: Simplify right side
    33,573x = 5,349,313,321
  5. Step 5: Solve for x
    x = 5,349,313,321/33,573
  6. Step 6: Final answer
    x = 159,333.79

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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.