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Finding the Third Proportional to 33,488 and 50,663

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Solution

The third proportional to 33,488 and 50,663 is: 76,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488 : 50,663 = 50,663 : x
  2. Step 2: Convert to fraction form
    33,488/50,663 = 50,663/x
  3. Step 3: Cross multiply
    33,488x = 50,663 × 50,663
  4. Step 4: Simplify right side
    33,488x = 2,566,739,569
  5. Step 5: Solve for x
    x = 2,566,739,569/33,488
  6. Step 6: Final answer
    x = 76,646.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.