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Finding the Third Proportional to 339.80 and 523.20

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Solution

The third proportional to 339.80 and 523.20 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 523.20 = 523.20 : x
  2. Step 2: Convert to fraction form
    339.80/523.20 = 523.20/x
  3. Step 3: Cross multiply
    339.80x = 523.20 × 523.20
  4. Step 4: Simplify right side
    339.80x = 273,733.34
  5. Step 5: Solve for x
    x = 273,733.34/339.80
  6. Step 6: Final answer
    x = 805.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.