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Finding the Third Proportional to 33,776 and 51,992

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Solution

The third proportional to 33,776 and 51,992 is: 80,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776 : 51,992 = 51,992 : x
  2. Step 2: Convert to fraction form
    33,776/51,992 = 51,992/x
  3. Step 3: Cross multiply
    33,776x = 51,992 × 51,992
  4. Step 4: Simplify right side
    33,776x = 2,703,168,064
  5. Step 5: Solve for x
    x = 2,703,168,064/33,776
  6. Step 6: Final answer
    x = 80,032.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.