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Finding the Third Proportional to 307.69 and 449.44

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Solution

The third proportional to 307.69 and 449.44 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 449.44 = 449.44 : x
  2. Step 2: Convert to fraction form
    307.69/449.44 = 449.44/x
  3. Step 3: Cross multiply
    307.69x = 449.44 × 449.44
  4. Step 4: Simplify right side
    307.69x = 201,994.07
  5. Step 5: Solve for x
    x = 201,994.07/307.69
  6. Step 6: Final answer
    x = 656.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.