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Finding the Third Proportional to 300.44 and 448.69

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Solution

The third proportional to 300.44 and 448.69 is: 670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.44 : 448.69 = 448.69 : x
  2. Step 2: Convert to fraction form
    300.44/448.69 = 448.69/x
  3. Step 3: Cross multiply
    300.44x = 448.69 × 448.69
  4. Step 4: Simplify right side
    300.44x = 201,320.47
  5. Step 5: Solve for x
    x = 201,320.47/300.44
  6. Step 6: Final answer
    x = 670.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.