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Finding the Third Proportional to 421.25 and 862.75

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Solution

The third proportional to 421.25 and 862.75 is: 1,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.25 : 862.75 = 862.75 : x
  2. Step 2: Convert to fraction form
    421.25/862.75 = 862.75/x
  3. Step 3: Cross multiply
    421.25x = 862.75 × 862.75
  4. Step 4: Simplify right side
    421.25x = 744,337.56
  5. Step 5: Solve for x
    x = 744,337.56/421.25
  6. Step 6: Final answer
    x = 1,766.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.