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Finding the Third Proportional to 447.94 and 976.69

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Solution

The third proportional to 447.94 and 976.69 is: 2,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.94 : 976.69 = 976.69 : x
  2. Step 2: Convert to fraction form
    447.94/976.69 = 976.69/x
  3. Step 3: Cross multiply
    447.94x = 976.69 × 976.69
  4. Step 4: Simplify right side
    447.94x = 953,918.47
  5. Step 5: Solve for x
    x = 953,918.47/447.94
  6. Step 6: Final answer
    x = 2,129.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.