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Finding the Third Proportional to 76,777 and 166,418

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Solution

The third proportional to 76,777 and 166,418 is: 360,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,777 : 166,418 = 166,418 : x
  2. Step 2: Convert to fraction form
    76,777/166,418 = 166,418/x
  3. Step 3: Cross multiply
    76,777x = 166,418 × 166,418
  4. Step 4: Simplify right side
    76,777x = 27,694,950,724
  5. Step 5: Solve for x
    x = 27,694,950,724/76,777
  6. Step 6: Final answer
    x = 360,719.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.