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Finding the Third Proportional to 446.88 and 989.31

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Solution

The third proportional to 446.88 and 989.31 is: 2,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.88 : 989.31 = 989.31 : x
  2. Step 2: Convert to fraction form
    446.88/989.31 = 989.31/x
  3. Step 3: Cross multiply
    446.88x = 989.31 × 989.31
  4. Step 4: Simplify right side
    446.88x = 978,739.22
  5. Step 5: Solve for x
    x = 978,739.22/446.88
  6. Step 6: Final answer
    x = 2,190.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.