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Finding the Third Proportional to 33,333 and 71,256

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Solution

The third proportional to 33,333 and 71,256 is: 152,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,333 : 71,256 = 71,256 : x
  2. Step 2: Convert to fraction form
    33,333/71,256 = 71,256/x
  3. Step 3: Cross multiply
    33,333x = 71,256 × 71,256
  4. Step 4: Simplify right side
    33,333x = 5,077,417,536
  5. Step 5: Solve for x
    x = 5,077,417,536/33,333
  6. Step 6: Final answer
    x = 152,324.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.