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Finding the Third Proportional to 4.02 and 6.49

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Solution

The third proportional to 4.02 and 6.49 is: 10.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 6.49 = 6.49 : x
  2. Step 2: Convert to fraction form
    4.02/6.49 = 6.49/x
  3. Step 3: Cross multiply
    4.02x = 6.49 × 6.49
  4. Step 4: Simplify right side
    4.02x = 42.17
  5. Step 5: Solve for x
    x = 42.17/4.02
  6. Step 6: Final answer
    x = 10.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.