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Finding the Third Proportional to 85,113.75 and 123,675

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Solution

The third proportional to 85,113.75 and 123,675 is: 179,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,113.75 : 123,675 = 123,675 : x
  2. Step 2: Convert to fraction form
    85,113.75/123,675 = 123,675/x
  3. Step 3: Cross multiply
    85,113.75x = 123,675 × 123,675
  4. Step 4: Simplify right side
    85,113.75x = 15,295,505,625
  5. Step 5: Solve for x
    x = 15,295,505,625/85,113.75
  6. Step 6: Final answer
    x = 179,706.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.