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Finding the Third Proportional to 81,400 and 167,672

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Solution

The third proportional to 81,400 and 167,672 is: 345,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,400 : 167,672 = 167,672 : x
  2. Step 2: Convert to fraction form
    81,400/167,672 = 167,672/x
  3. Step 3: Cross multiply
    81,400x = 167,672 × 167,672
  4. Step 4: Simplify right side
    81,400x = 28,113,899,584
  5. Step 5: Solve for x
    x = 28,113,899,584/81,400
  6. Step 6: Final answer
    x = 345,379.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.