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Finding the Third Proportional to 745.50 and 1,769.75

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Solution

The third proportional to 745.50 and 1,769.75 is: 4,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.50 : 1,769.75 = 1,769.75 : x
  2. Step 2: Convert to fraction form
    745.50/1,769.75 = 1,769.75/x
  3. Step 3: Cross multiply
    745.50x = 1,769.75 × 1,769.75
  4. Step 4: Simplify right side
    745.50x = 3,132,015.06
  5. Step 5: Solve for x
    x = 3,132,015.06/745.50
  6. Step 6: Final answer
    x = 4,201.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.