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Finding the Third Proportional to 80,610 and 133,211

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Solution

The third proportional to 80,610 and 133,211 is: 220,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,610 : 133,211 = 133,211 : x
  2. Step 2: Convert to fraction form
    80,610/133,211 = 133,211/x
  3. Step 3: Cross multiply
    80,610x = 133,211 × 133,211
  4. Step 4: Simplify right side
    80,610x = 17,745,170,521
  5. Step 5: Solve for x
    x = 17,745,170,521/80,610
  6. Step 6: Final answer
    x = 220,136.09

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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.