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Finding the Third Proportional to 33,558 and 73,335

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Solution

The third proportional to 33,558 and 73,335 is: 160,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558 : 73,335 = 73,335 : x
  2. Step 2: Convert to fraction form
    33,558/73,335 = 73,335/x
  3. Step 3: Cross multiply
    33,558x = 73,335 × 73,335
  4. Step 4: Simplify right side
    33,558x = 5,378,022,225
  5. Step 5: Solve for x
    x = 5,378,022,225/33,558
  6. Step 6: Final answer
    x = 160,260.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.