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Finding the Third Proportional to 4.01 and 6.57

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Solution

The third proportional to 4.01 and 6.57 is: 10.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.01 : 6.57 = 6.57 : x
  2. Step 2: Convert to fraction form
    4.01/6.57 = 6.57/x
  3. Step 3: Cross multiply
    4.01x = 6.57 × 6.57
  4. Step 4: Simplify right side
    4.01x = 43.22
  5. Step 5: Solve for x
    x = 43.22/4.01
  6. Step 6: Final answer
    x = 10.78

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.