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Finding the Third Proportional to 746.50 and 1,540.75

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Solution

The third proportional to 746.50 and 1,540.75 is: 3,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.50 : 1,540.75 = 1,540.75 : x
  2. Step 2: Convert to fraction form
    746.50/1,540.75 = 1,540.75/x
  3. Step 3: Cross multiply
    746.50x = 1,540.75 × 1,540.75
  4. Step 4: Simplify right side
    746.50x = 2,373,910.56
  5. Step 5: Solve for x
    x = 2,373,910.56/746.50
  6. Step 6: Final answer
    x = 3,180.05

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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.