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Finding the Third Proportional to 33,776 and 73,279

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Solution

The third proportional to 33,776 and 73,279 is: 158,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776 : 73,279 = 73,279 : x
  2. Step 2: Convert to fraction form
    33,776/73,279 = 73,279/x
  3. Step 3: Cross multiply
    33,776x = 73,279 × 73,279
  4. Step 4: Simplify right side
    33,776x = 5,369,811,841
  5. Step 5: Solve for x
    x = 5,369,811,841/33,776
  6. Step 6: Final answer
    x = 158,983.06

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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.