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Finding the Third Proportional to 421.75 and 999.25

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Solution

The third proportional to 421.75 and 999.25 is: 2,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.75 : 999.25 = 999.25 : x
  2. Step 2: Convert to fraction form
    421.75/999.25 = 999.25/x
  3. Step 3: Cross multiply
    421.75x = 999.25 × 999.25
  4. Step 4: Simplify right side
    421.75x = 998,500.56
  5. Step 5: Solve for x
    x = 998,500.56/421.75
  6. Step 6: Final answer
    x = 2,367.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.