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Finding the Third Proportional to 33,320.25 and 71,975.25

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Solution

The third proportional to 33,320.25 and 71,975.25 is: 155,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,320.25 : 71,975.25 = 71,975.25 : x
  2. Step 2: Convert to fraction form
    33,320.25/71,975.25 = 71,975.25/x
  3. Step 3: Cross multiply
    33,320.25x = 71,975.25 × 71,975.25
  4. Step 4: Simplify right side
    33,320.25x = 5,180,436,612.56
  5. Step 5: Solve for x
    x = 5,180,436,612.56/33,320.25
  6. Step 6: Final answer
    x = 155,474.12

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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.