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Finding the Third Proportional to 33,764 and 73,288

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Solution

The third proportional to 33,764 and 73,288 is: 159,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,764 : 73,288 = 73,288 : x
  2. Step 2: Convert to fraction form
    33,764/73,288 = 73,288/x
  3. Step 3: Cross multiply
    33,764x = 73,288 × 73,288
  4. Step 4: Simplify right side
    33,764x = 5,371,130,944
  5. Step 5: Solve for x
    x = 5,371,130,944/33,764
  6. Step 6: Final answer
    x = 159,078.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.