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Finding the Third Proportional to 299.32 and 447.71

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Solution

The third proportional to 299.32 and 447.71 is: 669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 447.71 = 447.71 : x
  2. Step 2: Convert to fraction form
    299.32/447.71 = 447.71/x
  3. Step 3: Cross multiply
    299.32x = 447.71 × 447.71
  4. Step 4: Simplify right side
    299.32x = 200,448.58
  5. Step 5: Solve for x
    x = 200,448.58/299.32
  6. Step 6: Final answer
    x = 669.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.