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Finding the Third Proportional to 448.03 and 985.29

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Solution

The third proportional to 448.03 and 985.29 is: 2,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.03 : 985.29 = 985.29 : x
  2. Step 2: Convert to fraction form
    448.03/985.29 = 985.29/x
  3. Step 3: Cross multiply
    448.03x = 985.29 × 985.29
  4. Step 4: Simplify right side
    448.03x = 970,794.54
  5. Step 5: Solve for x
    x = 970,794.54/448.03
  6. Step 6: Final answer
    x = 2,166.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.