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Finding the Third Proportional to 76,378.50 and 166,311

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Solution

The third proportional to 76,378.50 and 166,311 is: 362,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.50 : 166,311 = 166,311 : x
  2. Step 2: Convert to fraction form
    76,378.50/166,311 = 166,311/x
  3. Step 3: Cross multiply
    76,378.50x = 166,311 × 166,311
  4. Step 4: Simplify right side
    76,378.50x = 27,659,348,721
  5. Step 5: Solve for x
    x = 27,659,348,721/76,378.50
  6. Step 6: Final answer
    x = 362,135.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.