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Finding the Third Proportional to 76,686 and 171,228

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Solution

The third proportional to 76,686 and 171,228 is: 382,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686 : 171,228 = 171,228 : x
  2. Step 2: Convert to fraction form
    76,686/171,228 = 171,228/x
  3. Step 3: Cross multiply
    76,686x = 171,228 × 171,228
  4. Step 4: Simplify right side
    76,686x = 29,319,027,984
  5. Step 5: Solve for x
    x = 29,319,027,984/76,686
  6. Step 6: Final answer
    x = 382,325.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.