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Finding the Third Proportional to 449.67 and 982.69

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Solution

The third proportional to 449.67 and 982.69 is: 2,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.67 : 982.69 = 982.69 : x
  2. Step 2: Convert to fraction form
    449.67/982.69 = 982.69/x
  3. Step 3: Cross multiply
    449.67x = 982.69 × 982.69
  4. Step 4: Simplify right side
    449.67x = 965,674.72
  5. Step 5: Solve for x
    x = 965,674.72/449.67
  6. Step 6: Final answer
    x = 2,147.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.