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Finding the Third Proportional to 33,770 and 73,486

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Solution

The third proportional to 33,770 and 73,486 is: 159,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770 : 73,486 = 73,486 : x
  2. Step 2: Convert to fraction form
    33,770/73,486 = 73,486/x
  3. Step 3: Cross multiply
    33,770x = 73,486 × 73,486
  4. Step 4: Simplify right side
    33,770x = 5,400,192,196
  5. Step 5: Solve for x
    x = 5,400,192,196/33,770
  6. Step 6: Final answer
    x = 159,910.93

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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.