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Finding the Third Proportional to 405.50 and 523.88

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Solution

The third proportional to 405.50 and 523.88 is: 676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 523.88 = 523.88 : x
  2. Step 2: Convert to fraction form
    405.50/523.88 = 523.88/x
  3. Step 3: Cross multiply
    405.50x = 523.88 × 523.88
  4. Step 4: Simplify right side
    405.50x = 274,445.02
  5. Step 5: Solve for x
    x = 274,445.02/405.50
  6. Step 6: Final answer
    x = 676.81

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.