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Finding the Third Proportional to 420.75 and 496.75

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Solution

The third proportional to 420.75 and 496.75 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 496.75 = 496.75 : x
  2. Step 2: Convert to fraction form
    420.75/496.75 = 496.75/x
  3. Step 3: Cross multiply
    420.75x = 496.75 × 496.75
  4. Step 4: Simplify right side
    420.75x = 246,760.56
  5. Step 5: Solve for x
    x = 246,760.56/420.75
  6. Step 6: Final answer
    x = 586.48

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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.