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Finding the Third Proportional to 343.13 and 523.25

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Solution

The third proportional to 343.13 and 523.25 is: 797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 523.25 = 523.25 : x
  2. Step 2: Convert to fraction form
    343.13/523.25 = 523.25/x
  3. Step 3: Cross multiply
    343.13x = 523.25 × 523.25
  4. Step 4: Simplify right side
    343.13x = 273,790.56
  5. Step 5: Solve for x
    x = 273,790.56/343.13
  6. Step 6: Final answer
    x = 797.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.