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Finding the Third Proportional to 76,828 and 167,120

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Solution

The third proportional to 76,828 and 167,120 is: 363,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828 : 167,120 = 167,120 : x
  2. Step 2: Convert to fraction form
    76,828/167,120 = 167,120/x
  3. Step 3: Cross multiply
    76,828x = 167,120 × 167,120
  4. Step 4: Simplify right side
    76,828x = 27,929,094,400
  5. Step 5: Solve for x
    x = 27,929,094,400/76,828
  6. Step 6: Final answer
    x = 363,527.55

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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.