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Finding the Third Proportional to 4.05 and 6.45

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Solution

The third proportional to 4.05 and 6.45 is: 10.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 6.45 = 6.45 : x
  2. Step 2: Convert to fraction form
    4.05/6.45 = 6.45/x
  3. Step 3: Cross multiply
    4.05x = 6.45 × 6.45
  4. Step 4: Simplify right side
    4.05x = 41.66
  5. Step 5: Solve for x
    x = 41.66/4.05
  6. Step 6: Final answer
    x = 10.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.