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Finding the Third Proportional to 305.75 and 406.38

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Solution

The third proportional to 305.75 and 406.38 is: 540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 406.38 = 406.38 : x
  2. Step 2: Convert to fraction form
    305.75/406.38 = 406.38/x
  3. Step 3: Cross multiply
    305.75x = 406.38 × 406.38
  4. Step 4: Simplify right side
    305.75x = 165,140.64
  5. Step 5: Solve for x
    x = 165,140.64/305.75
  6. Step 6: Final answer
    x = 540.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.