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Finding the Third Proportional to 745.63 and 1,640.38

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Solution

The third proportional to 745.63 and 1,640.38 is: 3,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,640.38 = 1,640.38 : x
  2. Step 2: Convert to fraction form
    745.63/1,640.38 = 1,640.38/x
  3. Step 3: Cross multiply
    745.63x = 1,640.38 × 1,640.38
  4. Step 4: Simplify right side
    745.63x = 2,690,830.14
  5. Step 5: Solve for x
    x = 2,690,830.14/745.63
  6. Step 6: Final answer
    x = 3,608.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.