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Finding the Third Proportional to 73,675 and 111,125

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Solution

The third proportional to 73,675 and 111,125 is: 167,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,675 : 111,125 = 111,125 : x
  2. Step 2: Convert to fraction form
    73,675/111,125 = 111,125/x
  3. Step 3: Cross multiply
    73,675x = 111,125 × 111,125
  4. Step 4: Simplify right side
    73,675x = 12,348,765,625
  5. Step 5: Solve for x
    x = 12,348,765,625/73,675
  6. Step 6: Final answer
    x = 167,611.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.