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Finding the Third Proportional to 471.76 and 982.44

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Solution

The third proportional to 471.76 and 982.44 is: 2,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 982.44 = 982.44 : x
  2. Step 2: Convert to fraction form
    471.76/982.44 = 982.44/x
  3. Step 3: Cross multiply
    471.76x = 982.44 × 982.44
  4. Step 4: Simplify right side
    471.76x = 965,191.12
  5. Step 5: Solve for x
    x = 965,191.12/471.76
  6. Step 6: Final answer
    x = 2,045.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.