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Finding the Third Proportional to 398.44 and 523.88

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Solution

The third proportional to 398.44 and 523.88 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.44 : 523.88 = 523.88 : x
  2. Step 2: Convert to fraction form
    398.44/523.88 = 523.88/x
  3. Step 3: Cross multiply
    398.44x = 523.88 × 523.88
  4. Step 4: Simplify right side
    398.44x = 274,445.02
  5. Step 5: Solve for x
    x = 274,445.02/398.44
  6. Step 6: Final answer
    x = 688.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.