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Finding the Third Proportional to 353.44 and 546.19

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Solution

The third proportional to 353.44 and 546.19 is: 844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 546.19 = 546.19 : x
  2. Step 2: Convert to fraction form
    353.44/546.19 = 546.19/x
  3. Step 3: Cross multiply
    353.44x = 546.19 × 546.19
  4. Step 4: Simplify right side
    353.44x = 298,320.79
  5. Step 5: Solve for x
    x = 298,320.79/353.44
  6. Step 6: Final answer
    x = 844.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.