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Finding the Third Proportional to 33,456 and 72,480

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Solution

The third proportional to 33,456 and 72,480 is: 157,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456 : 72,480 = 72,480 : x
  2. Step 2: Convert to fraction form
    33,456/72,480 = 72,480/x
  3. Step 3: Cross multiply
    33,456x = 72,480 × 72,480
  4. Step 4: Simplify right side
    33,456x = 5,253,350,400
  5. Step 5: Solve for x
    x = 5,253,350,400/33,456
  6. Step 6: Final answer
    x = 157,022.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.