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Finding the Third Proportional to 77,783 and 166,228

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Solution

The third proportional to 77,783 and 166,228 is: 355,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783 : 166,228 = 166,228 : x
  2. Step 2: Convert to fraction form
    77,783/166,228 = 166,228/x
  3. Step 3: Cross multiply
    77,783x = 166,228 × 166,228
  4. Step 4: Simplify right side
    77,783x = 27,631,747,984
  5. Step 5: Solve for x
    x = 27,631,747,984/77,783
  6. Step 6: Final answer
    x = 355,241.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.