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Finding the Third Proportional to 999.21 and 1,221.96

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Solution

The third proportional to 999.21 and 1,221.96 is: 1,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.21 : 1,221.96 = 1,221.96 : x
  2. Step 2: Convert to fraction form
    999.21/1,221.96 = 1,221.96/x
  3. Step 3: Cross multiply
    999.21x = 1,221.96 × 1,221.96
  4. Step 4: Simplify right side
    999.21x = 1,493,188.53
  5. Step 5: Solve for x
    x = 1,493,188.53/999.21
  6. Step 6: Final answer
    x = 1,494.37

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.