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Finding the Third Proportional to 355.94 and 745.38

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Solution

The third proportional to 355.94 and 745.38 is: 1,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 745.38 = 745.38 : x
  2. Step 2: Convert to fraction form
    355.94/745.38 = 745.38/x
  3. Step 3: Cross multiply
    355.94x = 745.38 × 745.38
  4. Step 4: Simplify right side
    355.94x = 555,583.89
  5. Step 5: Solve for x
    x = 555,583.89/355.94
  6. Step 6: Final answer
    x = 1,560.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.