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Finding the Third Proportional to 448.08 and 982.73

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Solution

The third proportional to 448.08 and 982.73 is: 2,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 982.73 = 982.73 : x
  2. Step 2: Convert to fraction form
    448.08/982.73 = 982.73/x
  3. Step 3: Cross multiply
    448.08x = 982.73 × 982.73
  4. Step 4: Simplify right side
    448.08x = 965,761.09
  5. Step 5: Solve for x
    x = 965,761.09/448.08
  6. Step 6: Final answer
    x = 2,155.31

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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.