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Finding the Third Proportional to 447.68 and 986.48

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Solution

The third proportional to 447.68 and 986.48 is: 2,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.68 : 986.48 = 986.48 : x
  2. Step 2: Convert to fraction form
    447.68/986.48 = 986.48/x
  3. Step 3: Cross multiply
    447.68x = 986.48 × 986.48
  4. Step 4: Simplify right side
    447.68x = 973,134.08
  5. Step 5: Solve for x
    x = 973,134.08/447.68
  6. Step 6: Final answer
    x = 2,173.75

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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.