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Finding the Third Proportional to 305.75 and 334.19

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Solution

The third proportional to 305.75 and 334.19 is: 365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 334.19 = 334.19 : x
  2. Step 2: Convert to fraction form
    305.75/334.19 = 334.19/x
  3. Step 3: Cross multiply
    305.75x = 334.19 × 334.19
  4. Step 4: Simplify right side
    305.75x = 111,681.29
  5. Step 5: Solve for x
    x = 111,681.29/305.75
  6. Step 6: Final answer
    x = 365.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.