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Finding the Third Proportional to 33,056 and 68,786

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Solution

The third proportional to 33,056 and 68,786 is: 143,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056 : 68,786 = 68,786 : x
  2. Step 2: Convert to fraction form
    33,056/68,786 = 68,786/x
  3. Step 3: Cross multiply
    33,056x = 68,786 × 68,786
  4. Step 4: Simplify right side
    33,056x = 4,731,513,796
  5. Step 5: Solve for x
    x = 4,731,513,796/33,056
  6. Step 6: Final answer
    x = 143,136.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.