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Finding the Third Proportional to 3.54 and 6.40

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Solution

The third proportional to 3.54 and 6.40 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 6.40 = 6.40 : x
  2. Step 2: Convert to fraction form
    3.54/6.40 = 6.40/x
  3. Step 3: Cross multiply
    3.54x = 6.40 × 6.40
  4. Step 4: Simplify right side
    3.54x = 41.01
  5. Step 5: Solve for x
    x = 41.01/3.54
  6. Step 6: Final answer
    x = 11.60

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.