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Finding the Third Proportional to 421.14 and 496.44

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Solution

The third proportional to 421.14 and 496.44 is: 585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.14 : 496.44 = 496.44 : x
  2. Step 2: Convert to fraction form
    421.14/496.44 = 496.44/x
  3. Step 3: Cross multiply
    421.14x = 496.44 × 496.44
  4. Step 4: Simplify right side
    421.14x = 246,454.07
  5. Step 5: Solve for x
    x = 246,454.07/421.14
  6. Step 6: Final answer
    x = 585.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.