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Finding the Third Proportional to 80,720 and 133,400

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Solution

The third proportional to 80,720 and 133,400 is: 220,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,720 : 133,400 = 133,400 : x
  2. Step 2: Convert to fraction form
    80,720/133,400 = 133,400/x
  3. Step 3: Cross multiply
    80,720x = 133,400 × 133,400
  4. Step 4: Simplify right side
    80,720x = 17,795,560,000
  5. Step 5: Solve for x
    x = 17,795,560,000/80,720
  6. Step 6: Final answer
    x = 220,460.36

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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.