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Finding the Third Proportional to 355.97 and 745.69

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Solution

The third proportional to 355.97 and 745.69 is: 1,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 745.69 = 745.69 : x
  2. Step 2: Convert to fraction form
    355.97/745.69 = 745.69/x
  3. Step 3: Cross multiply
    355.97x = 745.69 × 745.69
  4. Step 4: Simplify right side
    355.97x = 556,049.85
  5. Step 5: Solve for x
    x = 556,049.85/355.97
  6. Step 6: Final answer
    x = 1,562.07

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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.