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Finding the Third Proportional to 33,267 and 71,810

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Solution

The third proportional to 33,267 and 71,810 is: 155,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,267 : 71,810 = 71,810 : x
  2. Step 2: Convert to fraction form
    33,267/71,810 = 71,810/x
  3. Step 3: Cross multiply
    33,267x = 71,810 × 71,810
  4. Step 4: Simplify right side
    33,267x = 5,156,676,100
  5. Step 5: Solve for x
    x = 5,156,676,100/33,267
  6. Step 6: Final answer
    x = 155,008.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.