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Finding the Third Proportional to 305.44 and 379.69

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Solution

The third proportional to 305.44 and 379.69 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 379.69 = 379.69 : x
  2. Step 2: Convert to fraction form
    305.44/379.69 = 379.69/x
  3. Step 3: Cross multiply
    305.44x = 379.69 × 379.69
  4. Step 4: Simplify right side
    305.44x = 144,162.60
  5. Step 5: Solve for x
    x = 144,162.60/305.44
  6. Step 6: Final answer
    x = 471.99

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.