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Finding the Third Proportional to 80,608 and 133,208

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Solution

The third proportional to 80,608 and 133,208 is: 220,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,608 : 133,208 = 133,208 : x
  2. Step 2: Convert to fraction form
    80,608/133,208 = 133,208/x
  3. Step 3: Cross multiply
    80,608x = 133,208 × 133,208
  4. Step 4: Simplify right side
    80,608x = 17,744,371,264
  5. Step 5: Solve for x
    x = 17,744,371,264/80,608
  6. Step 6: Final answer
    x = 220,131.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.