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Finding the Third Proportional to 353.44 and 749.81

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Solution

The third proportional to 353.44 and 749.81 is: 1,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 749.81 = 749.81 : x
  2. Step 2: Convert to fraction form
    353.44/749.81 = 749.81/x
  3. Step 3: Cross multiply
    353.44x = 749.81 × 749.81
  4. Step 4: Simplify right side
    353.44x = 562,218.79
  5. Step 5: Solve for x
    x = 562,218.79/353.44
  6. Step 6: Final answer
    x = 1,590.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.