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Finding the Third Proportional to 517.50 and 743.25

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Solution

The third proportional to 517.50 and 743.25 is: 1,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 743.25 = 743.25 : x
  2. Step 2: Convert to fraction form
    517.50/743.25 = 743.25/x
  3. Step 3: Cross multiply
    517.50x = 743.25 × 743.25
  4. Step 4: Simplify right side
    517.50x = 552,420.56
  5. Step 5: Solve for x
    x = 552,420.56/517.50
  6. Step 6: Final answer
    x = 1,067.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.