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Finding the Third Proportional to 447.05 and 538.17

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Solution

The third proportional to 447.05 and 538.17 is: 647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.05 : 538.17 = 538.17 : x
  2. Step 2: Convert to fraction form
    447.05/538.17 = 538.17/x
  3. Step 3: Cross multiply
    447.05x = 538.17 × 538.17
  4. Step 4: Simplify right side
    447.05x = 289,628.97
  5. Step 5: Solve for x
    x = 289,628.97/447.05
  6. Step 6: Final answer
    x = 647.87

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.