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Finding the Third Proportional to 400.88 and 534.56

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Solution

The third proportional to 400.88 and 534.56 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.88 : 534.56 = 534.56 : x
  2. Step 2: Convert to fraction form
    400.88/534.56 = 534.56/x
  3. Step 3: Cross multiply
    400.88x = 534.56 × 534.56
  4. Step 4: Simplify right side
    400.88x = 285,757.07
  5. Step 5: Solve for x
    x = 285,757.07/400.88
  6. Step 6: Final answer
    x = 712.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.