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Finding the Third Proportional to 343.85 and 745.37

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Solution

The third proportional to 343.85 and 745.37 is: 1,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 745.37 = 745.37 : x
  2. Step 2: Convert to fraction form
    343.85/745.37 = 745.37/x
  3. Step 3: Cross multiply
    343.85x = 745.37 × 745.37
  4. Step 4: Simplify right side
    343.85x = 555,582.43
  5. Step 5: Solve for x
    x = 555,582.43/343.85
  6. Step 6: Final answer
    x = 1,615.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.