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Finding the Third Proportional to 3.85 and 4.57

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Solution

The third proportional to 3.85 and 4.57 is: 5.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.85 : 4.57 = 4.57 : x
  2. Step 2: Convert to fraction form
    3.85/4.57 = 4.57/x
  3. Step 3: Cross multiply
    3.85x = 4.57 × 4.57
  4. Step 4: Simplify right side
    3.85x = 20.89
  5. Step 5: Solve for x
    x = 20.89/3.85
  6. Step 6: Final answer
    x = 5.43

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.