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Finding the Third Proportional to 447.40 and 980.23

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Solution

The third proportional to 447.40 and 980.23 is: 2,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 980.23 = 980.23 : x
  2. Step 2: Convert to fraction form
    447.40/980.23 = 980.23/x
  3. Step 3: Cross multiply
    447.40x = 980.23 × 980.23
  4. Step 4: Simplify right side
    447.40x = 960,844.11
  5. Step 5: Solve for x
    x = 960,844.11/447.40
  6. Step 6: Final answer
    x = 2,147.63

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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.