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Finding the Third Proportional to 76,740 and 122,166

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Solution

The third proportional to 76,740 and 122,166 is: 194,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,740 : 122,166 = 122,166 : x
  2. Step 2: Convert to fraction form
    76,740/122,166 = 122,166/x
  3. Step 3: Cross multiply
    76,740x = 122,166 × 122,166
  4. Step 4: Simplify right side
    76,740x = 14,924,531,556
  5. Step 5: Solve for x
    x = 14,924,531,556/76,740
  6. Step 6: Final answer
    x = 194,481.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.