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Finding the Third Proportional to 33,790 and 71,952

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Solution

The third proportional to 33,790 and 71,952 is: 153,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,790 : 71,952 = 71,952 : x
  2. Step 2: Convert to fraction form
    33,790/71,952 = 71,952/x
  3. Step 3: Cross multiply
    33,790x = 71,952 × 71,952
  4. Step 4: Simplify right side
    33,790x = 5,177,090,304
  5. Step 5: Solve for x
    x = 5,177,090,304/33,790
  6. Step 6: Final answer
    x = 153,213.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.