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Finding the Third Proportional to 75,170 and 161,680

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Solution

The third proportional to 75,170 and 161,680 is: 347,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,170 : 161,680 = 161,680 : x
  2. Step 2: Convert to fraction form
    75,170/161,680 = 161,680/x
  3. Step 3: Cross multiply
    75,170x = 161,680 × 161,680
  4. Step 4: Simplify right side
    75,170x = 26,140,422,400
  5. Step 5: Solve for x
    x = 26,140,422,400/75,170
  6. Step 6: Final answer
    x = 347,750.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.